Transcorrelated Random-Phase Approximation

Abdallah Ammar; Anthony Scemama; Emmanuel Giner; Enzo Monino; Pierre-Fran\c{c}ois Loos

REVIEW 3 major objections 5 minor 300 references

Transcorrelated Random-Phase Approximation

T0 review · 3 major / 5 minor · reviewed 2026-08-03 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read Applying the random-phase approximation to a Jastrow-transformed Hamiltonian cuts ground-state energy errors by roughly an order of magnitude and accelerates basis-set convergence, while leaving excitation energies nearly unchanged.

desk verdict Genuinely new TC-RPA derivation with useful working equations, but the headline accuracy claim overstates the data and the ground-state benchmark is partly confounded by system-optimized Jastrow factors. read the letter →

arxiv 2607.28845 v1 pith:C7QXBYKH submitted 2026-07-30 physics.chem-ph cond-mat.mtrl-scicond-mat.str-elnucl-th

Abdallah Ammar , Enzo Monino , Anthony Scemama , Emmanuel Giner , Pierre-François Loos This is my paper · ORCID

classification physics.chem-phcond-mat.mtrl-scicond-mat.str-elnucl-th

keywords transcorrelatedHamiltonianrandom-phaseapproximationJastrowfactorbasissetconvergencecorrelationenergyverticalexcitationenergiesnon-Hermitianquantumchemistrythree-bodyinteractions

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper tries to show that the slow basis-set convergence long associated with RPA correlation energies can be attacked at the Hamiltonian level: instead of simply enlarging the orbital basis, one first applies a Jastrow similarity transformation that builds the electron-electron cusp into the Hamiltonian, then runs RPA on that non-Hermitian, three-body object. For helium, neon, water, ammonia, methane, and formaldehyde, the resulting TC-dRPA and TC-RPAx methods reach near-asymptotic ground-state energies with much smaller basis sets, and their complete-basis limits sit closer to exact non-relativistic energies—often by nearly an order of magnitude in error. The practical payoff would be accurate correlation energies for small molecules at a fraction of the basis-set cost. The same treatment barely changes vertical excitation energies, which the paper reads as evidence that the ground-state-optimized Jastrow factor does not capture the correlation character of excited states.

What carries the argument

The key object is the non-Hermitian transcorrelated Hamiltonian, obtained by a similarity transformation with a Jastrow correlation factor, and the effective interaction U-bar = V-bar + sum_k L-bar that fills the A, B, and C blocks of the RPA matrix. The contraction of the three-body term into an effective two-body kernel, together with TC orbital energies from the biorthogonal Fock equation, is what carries short-range correlation into the linear-response problem; the quasiboson approximation then collapses the many-body problem to the finite symplectic eigenvalue problem whose eigenvalues Omega enter the correlation energy formula E = 1/2 Tr(Omega - A).

What would settle it

Compute TC-dRPA and TC-RPAx correlation energies for a small molecule in a small basis where full configuration interaction is feasible and compare with the exact correlation energy in that basis: if the near-order-of-magnitude improvement over conventional RPA does not survive, the ground-state claim fails. For the excitation claim, re-optimize the Jastrow factor for each excited state and recompute vertical excitation energies: if they still barely move, the ground-state-optimization explanation is wrong.

Watch

Extended reading notes

Core claim

The central claim is that transcorrelation changes RPA by redefining the effective many-body space, not by adding a small correction. TC orbital energies are already dressed by short-range correlation through the non-symmetric Fock operator, and the particle-hole interaction kernel is built from Jastrow-dressed two-body integrals plus a contraction of the explicit three-body term; the RPA matrix therefore has four independent blocks and separate left and right eigenvectors, and the correlation energy is 1/2 Tr(Omega - A). Numerically, TC-dRPA and TC-RPAx converge with triple- to quadruple-zeta bases while conventional RPA still drifts at quintuple- and sextuple-zeta, and the TC limits are ge

Load-bearing premise

The load-bearing premise is the quasiboson approximation (Eq. 17)—replacing particle-hole pairs with bosons and correlated ground-state averages with Hartree-Fock ones—which the paper's own text notes can artificially lower ground-state energies (Sections I and II.C), but whose magnitude for the transcorrelated Hamiltonian is never quantified.

Editorial extensions

If this is right

TC-dRPA and TC-RPAx offer a practical ground-state route: near-converged energies for small molecules are obtained at triple- or quadruple-zeta quality, avoiding the need for very large basis sets.
Because the TC transformation and the RPA approximation do not commute, conventional and transcorrelated RPA have different complete-basis limits; CBS extrapolations of conventional RPA are therefore not the right reference for TC-RPA energies.
The ground-state improvement is systematic for TC-dRPA on the molecules tested (errors drop from roughly 44-54 mH to 8-17 mH at the largest basis for water, ammonia, and methane), while TC-RPAx is less uniformly improved and formaldehyde is an outlier.
For excited states, TC-RPAx shifts are negligible for water, slightly adverse for ammonia, and helpful for formaldehyde; TC should not be assumed to improve vertical excitation energies.
The paper's proposed path to better excitation energies is state-specific or state-averaged Jastrow optimization combined with an improved response kernel, not larger basis sets alone.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

Beyond the paper: if Hamiltonian-level dressing is the mechanism, the same biorthogonal RPA derivation could be coupled to better response kernels (Bethe-Salpeter or equation-of-motion coupled-cluster style), combining Jastrow short-range correlation with a more accurate treatment of excitations.
Beyond the paper: the small net TC shifts in excitation energies probably hide large canceling changes in absolute ground- and excited-state energies; optimizing the Jastrow factor state by state would test whether that cancellation is the true obstacle.
Beyond the paper: the paper's distinction between angular cusp incompleteness (fixed by TC) and radial diffuseness (needed for Rydberg states) predicts a larger TC benefit for valence excitations; the n to pi* case in formaldehyde is a single hint, and a valence-transition benchmark would settle the question.
Beyond the paper: because the quasiboson approximation can artificially lower ground-state energies and its size for the TC Hamiltonian is left unquantified, comparing TC-RPA against full configuration interaction correlation energies in small basis sets would separate the Jastrow benefit from the bosonization error.

Share X Bluesky LinkedIn Reddit HN

Signed reviews

No signed human review yet.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Short version: this is a genuinely new piece of work—the first RPA derivation for a transcorrelated Hamiltonian with explicit three-body interactions, including a non-Hermitian Fock operator and a four-block response matrix. The spin-adapted working equations in Sec. II.G are practical, and the explicit three-body contraction in Eq. (39) is non-trivial. For most systems, the ground-state benchmarks do show faster basis-set convergence and smaller errors than conventional RPA. If I worked on RPA or transcorrelation, I would want this on my desk.

Now the soft spots. The abstract says "nearly an order of magnitude" error reduction. That does not survive the H2CO numbers: at aV5Z, TC-dRPA error is 74.7 mH versus 53.9 mH for dRPA, and TC-RPAx is 146.3 versus 140.1. The authors acknowledge H2CO in the text, but the abstract still overstates. Second, the Jastrow parameters were taken from ground-state single-determinant VMC optimizations (Sec. III.A). So the TC Hamiltonian already carries system-specific ground-state correlation information. That does not make the method wrong, but it means the comparison to conventional RPA is not a clean test of the TC-RPA approximation—it tests Jastrow-plus-RPA. Their own explanation for the lack of excitation-energy gain ("optimized exclusively for the ground state") makes that clear. A careful reader should ask what happens with a fixed, non-system-optimized Jastrow. Third, the non-Hermitian eigenvalue structure is hand-waved: the paper assumes real eigenvalues and opposite-sign pairs without proving the needed symplectic relation for the non-symmetric A block. The derivation and quadrature convergence details are deferred to the SI, so the main text is not fully self-contained. The quasiboson approximation (Eq. 17) is the usual uncontrolled step; they note it can lower ground-state energies but do not quantify it in the TC setting.

The excited-state section is honest: TC barely moves the dRPA excitation energies, and the RPAx improvements are modest. That negative result is worth reporting.

Bottom line: a serious method paper with a load-bearing benchmark claim that needs rephrasing. It deserves a real referee, not a desk reject. The authors should be asked to fix the abstract, address H2CO explicitly, discuss the spectral structure, and put the convergence and quadrature results in the main text or a detailed SI. I would send it to review.

Referee Report

3 major / 5 minor

Summary. The manuscript extends the random-phase approximation (RPA) to the non-Hermitian transcorrelated (TC) Hamiltonian, which contains explicit three-body interactions generated by a Boys–Handy Jastrow factor. The authors derive TC-RPA equations in a biorthogonal equation-of-motion framework, introduce a quasiboson approximation, and present spin-adapted working equations for two variants: TC-dRPA (direct) and TC-RPAx (with exchange). They apply these methods to ground-state correlation energies and vertical excitation energies of He, Ne, H2O, NH3, CH4, and H2CO. The paper claims that, for ground states, TC-RPA substantially accelerates basis-set convergence and reduces errors by nearly an order of magnitude relative to conventional RPA, while for vertical excitation energies the TC treatment gives only marginal improvements, attributed to the ground-state-optimized Jastrow factor.

Significance. The formal contribution is valuable: extending RPA to a non-Hermitian Hamiltonian with three-body terms is a nontrivial step, and the presented block structure, spin adaptation, and correlation-energy formula are plausible and likely useful for future work in transcorrelated many-body methods. The use of the Quantum Package code and the inclusion of raw data in the Supplementary Materials are positive features. However, the headline numerical claim for ground-state energies is not convincingly established by the benchmarks as presented, because the Jastrow factors are optimized against each system's ground state, and because the H2CO results contradict a systematic improvement. The excited-state results, while negative, are honestly reported and usefully delineate the limitations of the approach.

major comments (3)

[§II.C, Eq. (17)] The central ground-state accuracy claim is confounded by the origin of the Jastrow parameters. Section III.A states that the Boys–Handy parameters were 'optimized at the single-determinant level within a variational Monte Carlo framework' and taken from Refs. 184 and 185. These are ground-state-specific, system-specific fits. The transcorrelated Hamiltonian therefore already contains correlation information tailored to the target ground state, so the improved energies relative to conventional RPA may largely reflect information fed into the Jastrow rather than a superior many-body treatment. The H2CO case at aV5Z directly contradicts the 'nearly an order of magnitude' claim: the dRPA error increases from 53.9 mH to 74.7 mH for TC-dRPA, and the RPAx error from 140.1 mH to 146.3 mH. This outlier is acknowledged in a sentence but is not reconciled with the abstract's sweeping claim. A contr
[§II and Supplementary Materials] The quasiboson approximation is the step that reduces the many-body problem to the finite non-Hermitian RPA matrix of Eq. (19). Replacing particle-hole commutators by delta functions and correlated ground-state expectation values by Hartree–Fock expectation values is already known to be uncontrolled in Hermitian RPA; for a non-Hermitian, biorthogonal TC Hamiltonian, the justification is even weaker. The paper itself notes that this approximation 'can lead to an artificial lowering of the ground-state energy' but does not quantify the effect for the TC Hamiltonian. Since this approximation feeds directly into the correlation energy formula Eq. (32) and into the excitation energies, the numerical results are not yet supported. A concrete test would be to compare TC-RPA against near-exact TC-FCI or TC-selected-CI in a small basis for one of the benchmark systems, which would isolate errors
[§II and Supplementary Materials] The main-text derivation is condensed, with key algebraic steps—the reduction of Eqs. (15)–(16) to the block matrix (19), the eigenvector structure of Eqs. (23)–(24), and the correlation-energy formula (32)—deferred to the Supplementary Materials. As presented, the reader cannot verify these load-bearing equations without reconstructing the derivation. For a methodological paper, this is acceptable only if the supplementary derivation is complete and self-contained; the manuscript should state explicitly that all working equations are derived there and should provide cross-references to the specific supplementary sections. If the supplementary material is not available to the referee or the reader, the equations must be moved into the main text or the paper revised to make the derivation auditable.

minor comments (5)

[Eq. (1)] The summation notation in Eq. (1) is typographically unclear ('N X i N X j,i' and 'k<{i,j}'); please use standard restricted sums over distinct indices.
[Fig. 1] The legend label 'estim exact' should be 'estimated exact' for clarity.
[Fig. 2] For H2CO, the dRPA and TC-dRPA curves are visually close at aV5Z, but the text reports a 53.9 vs 74.7 mH error. Consider adding error annotations or a separate error plot to make the outlier more transparent.
[Tables I–III] The TBE values are CBS estimates, while the RPA values are raw finite-basis results. For a fairer comparison, CBS extrapolated values for the RPA methods (or at least the aV5Z values) should be tabulated alongside the TBEs, especially because basis-set convergence rates differ strongly between methods.
[Abstract] The phrase 'nearly an order of magnitude' is an overstatement given the H2CO results; consider replacing it with 'often substantially' or provide a statistical summary that excludes or flags the outlier.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the TC-RPA derivation is algebraically self-contained, and the ground-state Jastrow optimization is a benchmark confound rather than a circular reduction.

full rationale

The paper's derivation chain is self-contained at the level of the RPA formalism. The non-Hermitian RPA matrix in Eq. (19) is obtained from the equation-of-motion identities in Eqs. (11a)-(11b) together with the explicitly stated quasiboson approximation, Eq. (17), which replaces fermionic particle-hole commutators by delta functions and correlated ground-state expectation values by Hartree-Fock ones. This is a stated approximation, not a circular substitution of the target result. The correlation energy formula, Eq. (32), E_TC-RPA = (1/2)Tr(Omega - A), is the standard bosonic-diagonalization trace expression and is not identical to any fitted input. The one benchmark-related concern is that the Boys-Handy Jastrow parameters were imported from previous variational Monte Carlo ground-state optimizations (Sec. III.A: 'optimized at the single-determinant level within a variational Monte Carlo framework, were taken from the literature'), and Sec. III.C states the Jastrow 'is optimized exclusively for the ground state.' This is a genuine limitation: the ground-state accuracy claims are not a neutral test of the Jastrow choice. However, it is not a circular derivation. The TC-RPA energy is a nontrivial, nonlinear functional of the TC Hamiltonian, and the paper's own excitation-energy results act as a falsifying control - the same ground-state-optimized Jastrow produces no systematic improvement for excited states, showing that the RPA response is not merely inheriting the Jastrow fit. The self-citations (e.g., Ref. 170) supply the TC Hamiltonian definitions and integral-evaluation details; they are not used as an unverified uniqueness theorem or smuggled ansatz. No equation in the paper reduces a predicted quantity to its input by construction.

Assumptions & free parameters 1 free parameters · 5 assumptions · 0 invented entities

The method rests on standard bosonization of particle-hole excitations plus a similarity-transformed Hamiltonian. The only fitted inputs are the Jastrow parameters. No new particles, forces, or conserved quantities are introduced. The main unverified assumptions are the validity of the quasiboson replacement for the non-Hermitian TC Hamiltonian, the reality and pairing of its eigenvalues, and the convergence of the three-body quadrature.

free parameters (1)

Boys-Handy Jastrow parameters per system = from Ref. 184 (He, Ne) and Ref. 185 (H2O, NH3, CH4, H2CO); values not listed in paper
The Jastrow factor defines the TC Hamiltonian and therefore every TC-RPA energy. These parameters were optimized at the VMC single-determinant level against ground-state energies of the same systems, so the ground-state benchmark is not parameter-free.

assumptions (5)

standard math Biorthogonal second-quantization and EOM identities (Eqs. 2-11) hold for the non-Hermitian TC Hamiltonian.
The whole derivation is built on biorthogonal creation/annihilation algebras and the two EOM identities; these are standard but unproved in the main text.
domain assumption The TC Hamiltonian is exactly isospectral to the original electronic Hamiltonian, and the Boys-Handy Jastrow form captures the dominant short-range cusp.
The paper relies on the TC similarity transformation being isospectral when treated exactly, and on the Boys-Handy form being adequate for the systems studied.
domain assumption Quasiboson approximation: particle-hole commutators reduce to delta functions and correlated ground states are replaced by HF determinant expectation values (Eq. 17).
This approximation is the step that produces the finite RPA matrix Eq. (19) and the correlation energy Eq. (32); the paper acknowledges it can lower ground-state energies artificially.
domain assumption The non-Hermitian RPA eigenvalues are real and occur in opposite-sign pairs.
Section II.B states 'the energies are assumed to be real' and Section II.D asserts the pairing structure 'as a consequence of the symplectic structure' without proof in the main text.
domain assumption The on-the-fly quadrature evaluation of three-body TC integrals is sufficiently accurate.
Section III.A says the three-electron contribution is computed on the fly with a quadrature grid, but no grid-convergence tests are reported.

how reviews work

0 comments

Cite this review

Pith. "Pith review of Transcorrelated Random-Phase Approximation." pith.science (2026). https://pith.science/paper/C7QXBYKH

@misc{pith2026260728845,
  author       = {Pith},
  title        = {Pith review of: Transcorrelated Random-Phase Approximation},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/C7QXBYKH}},
  note         = {Machine review of arXiv:2607.28845}
}

read the original abstract

We extend the random-phase approximation (RPA) to the non-Hermitian transcorrelated (TC) Hamiltonian, which explicitly includes three-body interactions generated by a Jastrow correlation factor. We consider both the direct RPA (dRPA) and RPA with exchange (RPAx). We apply the resulting TC-dRPA and TC-RPAx methods to calculate ground-state correlation energies and vertical excitation energies for atoms (\ce{He} and \ce{Ne}) and small molecules (\ce{H2O}, \ce{NH3}, \ce{CH4}, and \ce{H2CO}). For ground-state correlation energies, the TC treatment substantially improves accuracy and accelerates basis set convergence, reducing errors by nearly an order of magnitude relative to conventional RPA calculations. By contrast, it yields only marginal improvements in vertical excitation energies. We attribute this limited effect to the ground-state optimization of the Jastrow factor, which does not adequately capture the distinct electronic character of excited states. These results establish TC-RPA as an accurate and computationally efficient approach to ground-state energetics, while highlighting the need for state-specific Jastrow optimization to achieve reliable descriptions of excited states.

Figures

Figures reproduced from arXiv: 2607.28845 by the authors.

**Figure 2.** FIG. 2. Basis-set convergence of the total ground-state energies (in a.u.) of [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

300 extracted references · 38 canonical work pages

[1]

, date-added =

Nooijen,Marcel and Bartlett,Rodney J. , date-added =. A new method for excited states: Similarity transformed equation-of-motion coupled-cluster theory , volume =. 1997 , bdsk-url-1 =. doi:10.1063/1.474000 , journal =

doi:10.1063/1.474000 1997
[2]

, date-added =

Nooijen,Marcel and Bartlett,Rodney J. , date-added =. Similarity transformed equation-of-motion coupled-cluster theory: Details, examples, and comparisons , volume =. 1997 , bdsk-url-1 =. doi:10.1063/1.474922 , journal =

doi:10.1063/1.474922 1997
[3]

, date-added =

Nooijen,Marcel and Bartlett,Rodney J. , date-added =. Similarity transformed equation-of-motion coupled-cluster study of ionized, electron attached, and excited states of free base porphin , volume =. 1997 , bdsk-url-1 =. doi:10.1063/1.473635 , journal =

work page doi:10.1063/1.473635 1997
[4]

Blase, Xavier and Duchemin, Ivan and Jacquemin, Denis and Loos, Pierre-Fran. The. 2020 , bdsk-url-1 =. doi:10.1021/acs.jpclett.0c01875 , journal =

doi:10.1021/acs.jpclett.0c01875 2020
[5]

Biorthogonal quantum mechanics , url =

Dorje C Brody , date-added =. Biorthogonal quantum mechanics , url =. 2013 , bdsk-url-1 =. doi:10.1088/1751-8113/47/3/035305 , journal =

doi:10.1088/1751-8113/47/3/035305 2013
[6]

2025 , bdsk-url-1 =

Loos, Pierre-Fran. 2025 , bdsk-url-1 =. doi:10.1021/acs.jctc.5c00975 , journal =

doi:10.1021/acs.jctc.5c00975 2025
[7]

and Berkelbach, Timothy C

Lange, Malte F. and Berkelbach, Timothy C. , doi =. On the. J. Chem. Theory Comput. , pages =. 2018 , bdsk-url-1 =

2018
[8]

Exact relationships between the GW approximation and equation-of-motion coupled-cluster theories through the quasi-boson formalism , volume =

T. Exact relationships between the GW approximation and equation-of-motion coupled-cluster theories through the quasi-boson formalism , volume =. 2023 , bdsk-url-1 =. doi:10.1063/5.0139716 , journal =

doi:10.1063/5.0139716 2023

Show all 300 references

[9]

Rates of convergence and error estimation formulas for the Rayleigh--Ritz variational method , volume =

Hill, Robert Nyden , doi =. Rates of convergence and error estimation formulas for the Rayleigh--Ritz variational method , volume =. J. Chem. Phys. , pages =. 1985 , bdsk-url-1 =

1985
[10]

Rates of convergence of the partial‐wave expansions of atomic correlation energies , volume =

Kutzelnigg, Werner and Morgan, John D., III , doi =. Rates of convergence of the partial‐wave expansions of atomic correlation energies , volume =. J. Chem. Phys. , pages =. 1992 , bdsk-url-1 =

1992
[11]

Importance of Angular Correlations between Atomic Electrons , volume =

Schwartz, Charles , doi =. Importance of Angular Correlations between Atomic Electrons , volume =. Phys. Rev. , pages =. 1962 , bdsk-url-1 =

1962
[12]

J. D. Hund's rules, the alternating rule, and symmetry holes , volume =. 1993 , bdsk-url-1 =. doi:10.1021/j100112a051 , journal =

1993 doi
[13]

Kato , doi =

T. Kato , doi =. Fundamental properties of Hamiltonian operators of Schr. Trans. Am. Math. Soc. , pages =. 1951 , bdsk-url-1 =

1951
[14]

C. R. Myers and C. J. Umrigar and J. P. Sethna and J. D. Fock's expansion, Kato's cusp conditions, and the exponential ansatz , volume =. 1991 , bdsk-url-1 =. doi:10.1103/PhysRevA.44.5537 , journal =

1991 doi
[15]

Kato , doi =

T. Kato , doi =. On The Eigenfunctions Of Many-Particle Systems In Quantum Mechanics , volume =. Commun. Pure Appl. Math. , pages =. 1957 , bdsk-url-1 =

1957
[16]

A basis-set error correction based on density-functional theory for strongly correlated molecular systems , volume =

Giner, Emmanuel and Scemama, Anthony and Loos, Pierre-Fran. A basis-set error correction based on density-functional theory for strongly correlated molecular systems , volume =. 2020 , bdsk-url-1 =. doi:10.1063/5.0002892 , journal =

2020 doi
[17]

P. F. Loos and B. Pradines and A. Scemama and J. Toulouse and E. Giner , doi =. A Density-Based Basis-Set Correction for Wave Function Theory , volume =. J. Phys. Chem. Lett. , pages =. 2019 , bdsk-url-1 =

2019
[18]

P. F. Loos and B. Pradines and A. Scemama and E. Giner and J. Toulouse , doi =. A Density-Based Basis-Set Incompleteness Correction for GW Methods , volume =. J. Chem. Theory Comput. , pages =. 2020 , bdsk-url-1 =

2020
[19]

Curing Basis-Set Convergence Of Wave-Function Theory Using Density-Functional Theory: A Systematically Improvable Approach , volume =

Emmanuel Giner and Barth\'elemy Pradines and Anthony Fert\'e and Roland Assaraf and Andreas Savin and Julien Toulouse , doi =. Curing Basis-Set Convergence Of Wave-Function Theory Using Density-Functional Theory: A Systematically Improvable Approach , volume =. J. Chem. Phys. ...

2018
[20]

Giner and A

E. Giner and A. Scemama and J. Toulouse and P. F. Loos , doi =. Chemically accurate excitation energies with small basis sets , volume =. J. Chem. Phys. , pages =. 2019 , bdsk-url-1 =

2019
[21]

Ten-no and J

S. Ten-no and J. Noga , doi =. Explicitly Correlated Electronic Structure Theory From R12/F12 Ansatze , volume =. WIREs Comput. Mol. Sci. , pages =. 2012 , bdsk-url-1 =

2012
[22]

Kutzelnigg , doi =

W. Kutzelnigg , doi =. R12-Dependent Terms In The Wave Function As Closed Sums Of Partial Wave Amplitudes For Large L , volume =. Theor. Chim. Acta , pages =. 1985 , bdsk-url-1 =

1985
[23]

Kutzelnigg and W

W. Kutzelnigg and W. Klopper , doi =. Wave Functions With Terms Linear In The Interelectronic Coordinates To Take Care Of The Correlation Cusp. I. General Theory , volume =. J. Chem. Phys. , pages =. 1991 , bdsk-url-1 =

1991
[24]

Noga and W

J. Noga and W. Kutzelnigg , doi =. Coupled Cluster Theory That Takes Care Of The Correlation Cusp By Inclusion Of Linear Terms In The Interelectronic Coordinates , volume =. J. Chem. Phys. , pages =. 1994 , bdsk-url-1 =

1994
[25]

and Valeev, Edward F

Kong, Liguo and Bischoff, Florian A. and Valeev, Edward F. , doi =. Explicitly Correlated R12/F12 Methods for Electronic Structure , volume =. Chem. Rev. , pages =. 2012 , bdsk-url-1 =

2012
[26]

Hattig and W

C. Hattig and W. Klopper and A. Kohn and D. P. Tew , doi =. Explicitly Correlated Electrons in Molecules , volume =. Chem. Rev. , pages =. 2012 , bdsk-url-1 =

2012
[27]

Toward chemical accuracy at low computational cost: Density-functional theory with

Trushin, Egor and Thierbach, Adrian and G. Toward chemical accuracy at low computational cost: Density-functional theory with. 2021 , bdsk-url-1 =. doi:10.1063/5.0026849 , journal =

2021 doi
[28]

olkner, Andreas and Erhard, Jannis and G\

Trushin, Egor and Fauser, Steffen and M\"olkner, Andreas and Erhard, Jannis and G\"orling, Andreas , doi =. Accurate Correlation Potentials from the Self-Consistent Random Phase Approximation , volume =. Phys. Rev. Lett. , pages =. 2025 , bdsk-url-1 =

2025
[29]

Reining, Lucia , doi =. The. WIREs Comput. Mol. Sci. , pages =. 2017 , bdsk-url-1 =

2017
[30]

Onida and L

G. Onida and L. Reining and A. Rubio , doi =. Electronic Excitations: Density-Functional Versus Many-Body Green's Function Approaches , volume =. Rev. Mod. Phys. , pages =. 2002 , bdsk-url-1 =

2002
[31]

Aryasetiawan and O

F. Aryasetiawan and O. Gunnarsson , doi =. The GW Method , volume =. Rep. Prog. Phys. , pages =. 1998 , bdsk-url-1 =

1998
[32]

New Method for Calculating the One-Particle

Hedin, Lars , doi =. New Method for Calculating the One-Particle. Phys. Rev. , pages =. 1965 , bdsk-url-1 =

1965
[33]

Developing the Random Phase Approximation Into a Practical Post-

Furche, Filipp , doi =. Developing the Random Phase Approximation Into a Practical Post-. J. Chem. Phys. , pages =. 2008 , bdsk-url-1 =

2008
[34]

The GW Compendium: A Practical Guide to Theoretical Photoemission Spectroscopy , volume =

Golze, Dorothea and Dvorak, Marc and Rinke, Patrick , doi =. The GW Compendium: A Practical Guide to Theoretical Photoemission Spectroscopy , volume =. Front. Chem. , pages =. 2019 , bdsk-url-1 =

2019
[35]

and Pines, D

Nozi\`eres, P. and Pines, D. , doi =. Correlation Energy of a Free Electron Gas , volume =. Phys. Rev. , pages =. 1958 , bdsk-url-1 =

1958
[36]

and Voora, Vamsee K

Chen, Guo P. and Voora, Vamsee K. and Agee, Matthew M. and Balasubramani, Sree Ganesh and Furche, Filipp , doi =. Random-Phase Approximation Methods , volume =. Annu. Rev. Phys. Chem. , pages =. 2017 , bdsk-url-1 =

2017
[37]

A Collective Description of Electron Interactions

Bohm, David and Pines, David , doi =. A Collective Description of Electron Interactions. I. Magnetic Interactions , volume =. Phys. Rev. , pages =. 1951 , bdsk-url-1 =

1951
[38]

A Collective Description of Electron Interactions: III

Bohm, David and Pines, David , doi =. A Collective Description of Electron Interactions: III. Coulomb Interactions in a Degenerate Electron Gas , volume =. Phys. Rev. , pages =. 1953 , bdsk-url-1 =

1953
[39]

A Collective Description of Electron Interactions: II

Pines, David and Bohm, David , doi =. A Collective Description of Electron Interactions: II. Collective. Phys. Rev. , pages =. 1952 , bdsk-url-1 =

1952
[40]

and Brueckner, K

Sawada, K. and Brueckner, K. A. and Fukuda, N. and Brout, R. , doi =. Correlation Energy of an Electron Gas at High Density: Plasma Oscillations , volume =. Phys. Rev. , pages =. 1957 , bdsk-url-1 =

1957
[41]

Brout, R. , doi =. Correlation Energy of a High-Density Gas: Plasma Coordinates , volume =. Phys. Rev. , pages =. 1957 , bdsk-url-1 =

1957
[42]

Diamagnetism of a Dense Electron Gas , volume =

Wentzel, Gregor , doi =. Diamagnetism of a Dense Electron Gas , volume =. Phys. Rev. , pages =. 1957 , bdsk-url-1 =

1957
[43]

Gell-Mann, Murray and Brueckner, Keith A. , doi =. Correlation Energy of an Electron Gas at High Density , volume =. Phys. Rev. , pages =. 1957 , bdsk-url-1 =

1957
[44]

and Peierls, Rudolf Ernst , doi =

Hubbard, J. and Peierls, Rudolf Ernst , doi =. The description of collective motions in terms of many-body perturbation theory III. The extension of the theory to the non-uniform gas , volume =. Proc. R. Soc. Lond. A , pages =. 1958 , bdsk-url-1 =

1958
[45]

Thouless , doi =

D.J. Thouless , doi =. Stability conditions and nuclear rotations in the Hartree-Fock theory , volume =. Nucl. Phys. , pages =. 1960 , bdsk-url-1 =

1960
[46]

Thouless , doi =

D.J. Thouless , doi =. Vibrational states of nuclei in the random phase approximation , volume =. Nucl. Phys. , pages =. 1961 , bdsk-url-1 =

1961
[47]

Brown and J.A

G.E. Brown and J.A. Evans and D.J. Thouless , doi =. Vibrations of spherical nuclei , volume =. Nucl. Phys. , pages =. 1961 , bdsk-url-1 =

1961
[48]

, publisher =

Rowe, David J. , publisher =. Nuclear Collective Motion: Models and Theory , year =
[49]

and Blaizot, J

Ripka, G. and Blaizot, J. P. , publisher =. Quantum Theory of Finite Systems , year =
[50]

and Walecka, J.D

Fetter, A.L. and Walecka, J.D. , publisher =. Quantum Theory of Many-particle Systems , year =
[51]

and Schuck, P

Ring, P. and Schuck, P. , publisher =. The Nuclear Many-Body Problem , year =
[52]

Rowe , doi =

D.J. Rowe , doi =. An intepretation of time-dependent Hartree-Fock theory , volume =. Nucl. Phys. , pages =. 1966 , bdsk-url-1 =

1966
[53]

Rowe, D. J. , doi =. Equations-of-Motion Method and the Extended Shell Model , volume =. Rev. Mod. Phys. , pages =. 1968 , bdsk-url-1 =

1968
[54]

Self-consistent random-phase approximation for three-body forces , volume =

M K Weigel and J Winter , doi =. Self-consistent random-phase approximation for three-body forces , volume =. J. Phys. G: Nucl. Phys. , pages =. 1978 , bdsk-url-1 =

1978
[55]

Werthamer, N. R. and Suhl, H. , doi =. Renormalization of Many-Fermion Momentum-Space Distributions in Higher Random Phase Approximations , volume =. Phys. Rev. , pages =. 1962 , bdsk-url-1 =

1962
[56]

and Sawicki, J

Fano, G. and Sawicki, J. , doi =. The higher random phase approximation and the stability of the energy spectrum of the nuclear shell model , volume =. Nuovo Cimento , pages =. 1962 , bdsk-url-1 =

1962
[57]

Sawicki, J. , doi =. Higher Random Phase Approximation and Energy Spectra of Spherical Nuclei , volume =. Phys. Rev. , pages =. 1962 , bdsk-url-1 =

1962
[58]

Higher random phase approximation applied to the description of the spherical vibrational nuclei , volume =

Taro Tamura and Takeshi Udagawa , doi =. Higher random phase approximation applied to the description of the spherical vibrational nuclei , volume =. Nucl. Phys. , pages =. 1964 , bdsk-url-1 =

1964
[59]

Rose, John and Shibuya, Tai‐ichi and McKoy, Vincent , doi =. J. Chem. Phys. , pages =. 1973 , bdsk-url-1 =

1973
[60]

Yannouleas and M

C. Yannouleas and M. Dworzecka and J. J. Griffin , doi =. Microscopic nuclear dissipation: (II). Damping of collective states in subspaces which include 2p-2h states , volume =. Nucl. Phys. A , pages =. 1983 , bdsk-url-1 =

1983
[61]

Schwesinger and J

B. Schwesinger and J. Wambach , doi =. Fragmentation of nuclear strength distributions by 2p2h excitations , volume =. Nucl. Phys. A , pages =. 1984 , bdsk-url-1 =

1984
[62]

Spreading effects on the isovector dipole strength distribution in 208Pb , volume =

Shizuko Adachi and Nguyen. Spreading effects on the isovector dipole strength distribution in 208Pb , volume =. 1984 , bdsk-url-1 =. doi:10.1016/0370-2693(84)90363-0 , journal =

1984 doi
[63]

Dro\'zd\'z and V

S. Dro\'zd\'z and V. Klemt and J. Speth and J. Wambach , doi =. Giant Gamow-Teller resonances in nuclei described with realistic two-body interactions , volume =. Phys. Lett. B , pages =. 1986 , bdsk-url-1 =

1986
[64]

Dro\'zd\'z and V

S. Dro\'zd\'z and V. Klemt and J. Speth and J. Wambach , doi =. Natural-parity excitations in light nuclei described with realistic two-body interactions , volume =. Nucl. Phys. A , pages =. 1986 , bdsk-url-1 =

1986
[65]

Zero-temperature second random phase approximation and its formal properties , volume =

Yannouleas, Constantine , doi =. Zero-temperature second random phase approximation and its formal properties , volume =. Phys. Rev. C , pages =. 1987 , bdsk-url-1 =

1987
[66]

Dro\'zd\'z and F

S. Dro\'zd\'z and F. Osterfeld and J. Speth and J. Wambach , doi =. Damping of the giant spin-flip dipole and spin-flip quadrupole charge exchange modes in 90Zr , volume =. Phys. Lett. B , pages =. 1987 , bdsk-url-1 =

1987
[67]

Lauritsch and P.-G

G. Lauritsch and P.-G. Reinhard , doi =. Giant double resonances in nuclei , volume =. Nucl. Phys. A , pages =. 1990 , bdsk-url-1 =

1990
[68]

Speth and J

J. Speth and J. Wambach , booktitle =. Theory of giant resonances , year =. doi:10.1142/9789814503495_0001 , pages =

doi
[69]

and Catara, F

Gambacurta, D. and Catara, F. , doi =. Second random phase approximation studies in metallic clusters , volume =. Phys. Rev. B , pages =. 2009 , bdsk-url-1 =

2009
[70]

and Grasso, M

Gambacurta, D. and Grasso, M. and Catara, F. , doi =. Collective nuclear excitations with Skyrme-second random-phase approximation , volume =. Phys. Rev. C , pages =. 2010 , bdsk-url-1 =

2010
[71]

and Roth, R

Papakonstantinou, P. and Roth, R. , doi =. Large-scale second random-phase approximation calculations with finite-range interactions , volume =. Phys. Rev. C , pages =. 2010 , bdsk-url-1 =

2010
[72]

and Grasso, M

Gambacurta, D. and Grasso, M. and De Donno, V. and Co', G. and Catara, F. , doi =. Second random-phase approximation with the Gogny force: First applications , volume =. Phys. Rev. C , pages =. 2012 , bdsk-url-1 =

2012
[73]

Tselyaev, V. I. , doi =. Subtraction method and stability condition in extended random-phase approximation theories , volume =. Phys. Rev. C , pages =. 2013 , bdsk-url-1 =

2013
[74]

Papakonstantinou, P. , doi =. Second random-phase approximation, Thouless' theorem, and the stability condition reexamined and clarified , volume =. Phys. Rev. C , pages =. 2014 , bdsk-url-1 =

2014
[75]

Peng, Degao and Yang, Yang and Zhang, Peng and Yang, Weitao , doi =. J. Chem. Phys. , pages =. 2014 , bdsk-url-1 =

2014
[76]

and Grasso, M

Gambacurta, D. and Grasso, M. and Engel, J. , doi =. Subtraction method in the second random-phase approximation: First applications with a Skyrme energy functional , volume =. Phys. Rev. C , pages =. 2015 , bdsk-url-1 =

2015
[77]

and Catara, F

Gambacurta, D. and Catara, F. and Grasso, M. and Sambataro, M. and Andr\'es, M. V. and Lanza, E. G. , doi =. Nuclear excitations as coupled one and two random-phase-approximation modes , volume =. Phys. Rev. C , pages =. 2016 , bdsk-url-1 =

2016
[78]

Kosov , doi =

D.S. Kosov , doi =. Restoring the Pauli principle in the random phase approximation ground state , volume =. Chem. Phys. Lett. , pages =. 2017 , bdsk-url-1 =

2017
[79]

Takayanagi and K

K. Takayanagi and K. Shimizu and A. Arima , doi =. A generalized RPA theory of the nuclear response function , volume =. Nucl. Phys. A , pages =. 1988 , bdsk-url-1 =

1988
[80]

Takayanagi and K

K. Takayanagi and K. Shimizu and A. Arima , doi =. A theoretical study of magnetic dipole transitions in 48Ca , volume =. Nucl. Phys. A , pages =. 1988 , bdsk-url-1 =

1988
[81]

Nishizaki and S

S. Nishizaki and S. Dro\'zd\'z and J. Wambach and J. Speth , doi =. Ground state correlation effects on the Gamow-Teller strength distribution in 48Ca , volume =. Phys. Lett. B , pages =. 1988 , bdsk-url-1 =

1988
[82]

Adachi and E

S. Adachi and E. Lipparini , doi =. Sum rules in extended RPA theories , volume =. Nucl. Phys. A , pages =. 1988 , bdsk-url-1 =

1988
[83]

The nuclear response within extended RPA theories , volume =

S. The nuclear response within extended RPA theories , volume =. 1990 , bdsk-url-1 =. doi:10.1016/0370-1573(90)90084-F , journal =

1990 doi
[84]

and Krmpoti\'

Mariano, A. and Krmpoti\'. Ground-state correlation effects in extended random phase approximation calculations , volume =. 1994 , bdsk-url-1 =. doi:10.1103/PhysRevC.49.2824 , journal =

1994 doi
[85]

Joshi, Pulkit and Voora, Vamsee K. , doi =. J. Chem. Phys. , pages =. 2024 , bdsk-url-1 =

2024
[86]

and Klein, Abraham , doi =

Kerman, Arthur K. and Klein, Abraham , doi =. Generalized Hartree-Fock Approximation for the Calculation of Collective States of a Finite Many-Particle System , volume =. Phys. Rev. , pages =. 1963 , bdsk-url-1 =

1963
[87]

Hara, Ken-ji , doi =. Prog. Theor. Phys. , pages =. 1964 , bdsk-url-1 =

1964
[88]

Theory of the Anharmonicity in the Vibrational Motion of Even-Even Spherical Nuclei , volume =

Dang, Giu Do and Klein, Abraham , doi =. Theory of the Anharmonicity in the Vibrational Motion of Even-Even Spherical Nuclei , volume =. Phys. Rev. , pages =. 1964 , bdsk-url-1 =

1964
[89]

Ikeda, Kiyomi and Udagawa, Takeshi and Yamaura, Hajime , doi =. Prog. Theor. Phys. , pages =. 1965 , bdsk-url-1 =

1965
[90]

Variational approach to the many-body problem , volume =

J. Variational approach to the many-body problem , volume =. 1965 , bdsk-url-1 =. doi:10.1016/0029-5582(65)90937-5 , journal =

1965 doi
[91]

Dreizler, R. M. and Klein, A. and Wu, Chi-Shiang and Dang, G. Do , doi =. Toward a New Theory of Spherical Nuclei. II , volume =. Phys. Rev. , pages =. 1967 , bdsk-url-1 =

1967
[92]

Parikh, J. C. and Rowe, D. J. , doi =. Investigation of Ground-State Correlations for a Model Hamiltonian of the Nucleus , volume =. Phys. Rev. , pages =. 1968 , bdsk-url-1 =

1968
[93]

Rowe, D. J. , doi =. Methods for Calculating Ground-State Correlations of Vibrational Nuclei , volume =. Phys. Rev. , pages =. 1968 , bdsk-url-1 =

1968
[94]

Note on the convergence of the Beliaev Zelevinsky expansion , volume =

J. Note on the convergence of the Beliaev Zelevinsky expansion , volume =. 1968 , bdsk-url-1 =. doi:10.1016/0370-2693(68)90134-2 , journal =

1968 doi
[95]

Mihailovi

M.V. Mihailovi. Excitations as ground state variational parameters , volume =. 1969 , bdsk-url-1 =. doi:10.1016/0375-9474(69)90737-4 , journal =

1969 doi
[96]

da Providencia, J. , doi =. Contribution of the Coherent Quasiboson-Approximation Modes to Ground-State Correlations , volume =. Phys. Rev. C , pages =. 1970 , bdsk-url-1 =

1970
[97]

Higher Random-Phase Approximation as an Approximation to the Equations of Motion , volume =

Shibuya, Tai-Ichi and McKoy, Vincent , doi =. Higher Random-Phase Approximation as an Approximation to the Equations of Motion , volume =. Phys. Rev. A , pages =. 1970 , bdsk-url-1 =

1970
[98]

Simons, Jack , doi =. J. Chem. Phys. , pages =. 1971 , bdsk-url-1 =

1971
[99]

Application of the Marumori Boson Expansion to the Problem of Particle-Hole Excitation in Closed-Shell Nuclei , volume =

Li, Shou Yung and Klein, Abraham , doi =. Application of the Marumori Boson Expansion to the Problem of Particle-Hole Excitation in Closed-Shell Nuclei , volume =. Phys. Rev. C , pages =. 1971 , bdsk-url-1 =

1971
[100]

Dreizler and Abraham Klein and F.R

R.M. Dreizler and Abraham Klein and F.R. Krejs and Gerard J. Dreiss , doi =. Ground state correlations as variational parameters in the nuclear many-body problem , volume =. Nucl. Phys. A , pages =. 1971 , bdsk-url-1 =

1971
[101]

Krejs, Franz and Klein, Abraham , doi =. J. Math. Phys. , pages =. 1973 , bdsk-url-1 =

1973
[102]

Shibuya, Tai‐ichi and Rose, John and McKoy, Vincent , doi =. J. Chem. Phys. , pages =. 1973 , bdsk-url-1 =

1973
[103]

Schuck and S

P. Schuck and S. Ethofer , doi =. Self-consistent (nuclear) phonons , volume =. Nucl. Phys. A , pages =. 1973 , bdsk-url-1 =

1973
[104]

Lasaga, A. C. and Karplus, M. , doi =. Excitation operators and the extended random-phase approximation. I. Theory , volume =. Phys. Rev. A , pages =. 1977 , bdsk-url-1 =

1977
[105]

Szabo, Attila and Ostlund, Neil S. , doi =. J. Chem. Phys. , pages =. 1977 , bdsk-url-1 =

1977
[106]

State vectors and propagators in many-electron theory

Linderberg, Jan and \"Ohrn, Yngve , doi =. State vectors and propagators in many-electron theory. A unified approach , volume =. Int. J. Quantum Chem. , pages =. 1977 , bdsk-url-1 =

1977
[107]

Lasaga, A. C. and Karplus, M. , doi =. J. Chem. Phys. , pages =. 1979 , bdsk-url-1 =

1979
[108]

Characteristics of the consistent ground state of the random phase approximation , volume =

\"Ohrn, Yngve and Linderberg, Jan , doi =. Characteristics of the consistent ground state of the random phase approximation , volume =. Int. J. Quantum Chem. , pages =. 1979 , bdsk-url-1 =

1979
[109]

Dukelsky and P

J. Dukelsky and P. Schuck , doi =. Towards a variational theory for RPA-like correlations and fluctuations , volume =. Nucl. Phys. A , pages =. 1990 , bdsk-url-1 =

1990
[110]

Lenske and J

H. Lenske and J. Wambach , doi =. RPA ground state correlations in nuclei , volume =. Phys. Lett. B , pages =. 1990 , bdsk-url-1 =

1990
[111]

Walet and G

Abraham Klein and Niels R. Walet and G. Ground-state correlations and restoration of broken symmetry to nuclear mean field theory , volume =. 1991 , bdsk-url-1 =. doi:10.1016/0375-9474(91)90513-6 , journal =

1991 doi
[112]

On some aspects of selfconsistent RPA theory , volume =

Janssen, D and Schuck, P , doi =. On some aspects of selfconsistent RPA theory , volume =. Z. Phys. A , pages =. 1991 , bdsk-url-1 =

1991
[113]

Karadjov and V.V

D. Karadjov and V.V. Voronov and F. Catara , doi =. Ground state correlations and charge transition densities , volume =. Phys. Lett. B , pages =. 1993 , bdsk-url-1 =

1993
[114]

Catara and N

F. Catara and N. Ground-state correlations beyond RPA , volume =. 1994 , bdsk-url-1 =. doi:10.1016/0375-9474(94)90790-0 , journal =

1994 doi
[115]

and Suhonen, J

Toivanen, J. and Suhonen, J. , doi =. Renormalized Proton-Neutron Quasiparticle Random-Phase Approximation and Its Application to Double Beta Decay , volume =. Phys. Rev. Lett. , pages =. 1995 , bdsk-url-1 =

1995
[116]

Schwieger and F

J. Schwieger and F. The Pauli principle, QRPA and the two-neutrino double beta decay , volume =. 1996 , bdsk-url-1 =. doi:10.1016/0375-9474(96)00024-3 , journal =

1996 doi
[117]

and Piccitto, G

Catara, F. and Piccitto, G. and Sambataro, M. and Van Giai, N. , doi =. Towards a self-consistent random-phase approximation for Fermi systems , volume =. Phys. Rev. B , pages =. 1996 , bdsk-url-1 =

1996
[118]

Dukelsky and P

J. Dukelsky and P. Schuck , doi =. Self consistent RPA for superfluid Fermi systems , volume =. Phys. Lett. B , pages =. 1996 , bdsk-url-1 =

1996
[119]

Raduta and C.M

A.A. Raduta and C.M. Raduta and Amand Faessler and W.A. Kami\'nski , doi =. Description of the 2 decay within a fully renormalised RPA approach , volume =. Nucl. Phys. A , pages =. 1998 , bdsk-url-1 =

1998
[120]

de Passos, E. J. V. and de Toledo Piza, A. F. R. and Krmpoti\'. Self-consistent and renormalized particle-particle random phase approximation in a schematic model , volume =. 1998 , bdsk-url-1 =. doi:10.1103/PhysRevC.58.1841 , journal =

1998 doi
[121]

Dukelsky and G

J. Dukelsky and G. R\". 1998 , bdsk-url-1 =. doi:10.1016/S0375-9474(97)00606-4 , journal =

1998 doi
[122]

Krmpoti\'

F. Krmpoti\'. Self-consistent random phase approximation within the O(5) model and Fermi transitions , volume =. 1998 , bdsk-url-1 =. doi:10.1016/S0375-9474(98)00231-0 , journal =

1998 doi
[123]

and Grasso, M

Catara, F. and Grasso, M. and Piccitto, G. and Sambataro, M. , doi =. Self-consistent determination of the one-body density matrix and particle-hole excitations , volume =. Phys. Rev. B , pages =. 1998 , bdsk-url-1 =

1998
[124]

Dyson equation approach to many-body Green's functions and self-consistent RPA: Application to the Hubbard model , volume =

Sch\". Dyson equation approach to many-body Green's functions and self-consistent RPA: Application to the Hubbard model , volume =. 1999 , bdsk-url-1 =. doi:10.1103/PhysRevB.59.1712 , journal =

1999 doi
[125]

Dukelsky and P

J. Dukelsky and P. Schuck , doi =. The self consistent RPA in a many level pairing model , volume =. Phys. Lett. B , pages =. 1999 , bdsk-url-1 =

1999
[126]

Dinh and Arima, A

Dang, N. Dinh and Arima, A. , doi =. Extended renormalized random phase approximation , volume =. Phys. Rev. C , pages =. 2000 , bdsk-url-1 =

2000
[127]

2000 , bdsk-url-1 =

Quasiparticle random phase approximation with inclusion of the Pauli exclusion principle , volume =. 2000 , bdsk-url-1 =. doi:10.1103/PhysRevC.61.044319 , journal =

2000 doi
[128]

and Catara, F

Grasso, M. and Catara, F. , doi =. Extension of random-phase approximation preserving energy weighted sum rules: An application to a 3-level Lipkin model , volume =. Phys. Rev. C , pages =. 2000 , bdsk-url-1 =

2000
[129]

and Schuck, P

Bertrand, T. and Schuck, P. and Chanfray, G. and Aouissat, Z. and Dukelsky, J. , doi =. Self-consistent random phase approximation in a schematic field theoretical model , volume =. Phys. Rev. C , pages =. 2001 , bdsk-url-1 =

2001
[130]

Extended random phase approximation in a solvable model , volume =

Shindo, Daisuke and Takayanagi, Kazuo , doi =. Extended random phase approximation in a solvable model , volume =. Phys. Rev. C , pages =. 2003 , bdsk-url-1 =

2003
[131]

Storozhenko and P

A. Storozhenko and P. Schuck and J. Dukelsky and G. R. Pair fluctuations in ultra-small Fermi systems within self-consistent RPA at finite temperature , volume =. 2003 , bdsk-url-1 =. doi:10.1016/S0003-4916(03)00095-2 , journal =

2003 doi
[132]

Dinh Dang, N. , doi =. Energies of the ground state and first excited 0+ state in an exactly solvable pairing model , volume =. Eur. Phys. J. A , pages =. 2003 , bdsk-url-1 =

2003
[133]

and Dickhoff, W

Barbieri, C. and Dickhoff, W. H. , doi =. Extension of the random phase approximation including the self-consistent coupling to two-phonon contributions , volume =. Phys. Rev. C , pages =. 2003 , bdsk-url-1 =

2003
[134]

Kamerdzhiev and J

S. Kamerdzhiev and J. Speth and G. Tertychny , doi =. Extended theory of finite Fermi systems: collective vibrations in closed shell nuclei , volume =. Phys. Rep. , pages =. 2004 , bdsk-url-1 =

2004
[135]

Delion, D. S. and Schuck, P. and Dukelsky, J. , doi =. Self-consistent random phase approximation and the restoration of symmetries within the three-level Lipkin model , volume =. Phys. Rev. C , pages =. 2005 , bdsk-url-1 =

2005
[136]

Self-consistent random phase approximation: Application to the Hubbard model for finite number of sites , volume =

Jema\". Self-consistent random phase approximation: Application to the Hubbard model for finite number of sites , volume =. 2005 , bdsk-url-1 =. doi:10.1103/PhysRevB.71.085115 , journal =

2005 doi
[137]

Particle-number conservation within self-consistent random-phase approximation , volume =

Dinh Dang, Nguyen , doi =. Particle-number conservation within self-consistent random-phase approximation , volume =. Phys. Rev. C , pages =. 2005 , bdsk-url-1 =

2005
[138]

Consistency of the particle-particle random-phase approximation and renormalization , volume =

Dang, Nguyen Dinh , doi =. Consistency of the particle-particle random-phase approximation and renormalization , volume =. Phys. Rev. C , pages =. 2006 , bdsk-url-1 =

2006
[139]

Self-consistent random-phase approximation at finite temperature within the Richardson model , volume =

Dang, Nguyen Dinh and Tanabe, Kosai , doi =. Self-consistent random-phase approximation at finite temperature within the Richardson model , volume =. Phys. Rev. C , pages =. 2006 , bdsk-url-1 =

2006
[140]

and Grasso, M

Gambacurta, D. and Grasso, M. and Catara, F. and Sambataro, M. , doi =. Extension of the second random-phase approximation , volume =. Phys. Rev. C , pages =. 2006 , bdsk-url-1 =

2006
[141]

and Papakonstantinou, P

Paar, N. and Papakonstantinou, P. and Hergert, H. and Roth, R. , doi =. Collective multipole excitations based on correlated realistic nucleon-nucleon interactions , volume =. Phys. Rev. C , pages =. 2006 , bdsk-url-1 =

2006
[142]

and Roth, R

Papakonstantinou, P. and Roth, R. and Paar, N. , doi =. Nuclear collective excitations using correlated realistic interactions: The role of explicit random-phase approximation correlations , volume =. Phys. Rev. C , pages =. 2007 , bdsk-url-1 =

2007
[143]

Tselyaev, V. I. , doi =. Quasiparticle time blocking approximation within the framework of generalized Green function formalism , volume =. Phys. Rev. C , pages =. 2007 , bdsk-url-1 =

2007
[144]

Quang and Dang, N

Hung, N. Quang and Dang, N. Dinh , doi =. Self-consistent quasiparticle random-phase approximation for a multilevel pairing model , volume =. Phys. Rev. C , pages =. 2007 , bdsk-url-1 =

2007
[145]

and Catara, F

Gambacurta, D. and Catara, F. , doi =. Particle-hole excitations within a self-consistent random-phase approximation , volume =. Phys. Rev. B , pages =. 2008 , bdsk-url-1 =

2008
[146]

and Knapp, F

Andreozzi, F. and Knapp, F. and Iudice, N. Lo and Porrino, A. and Kvasil, J. , doi =. Multiphonon nuclear response in ^. Phys. Rev. C , pages =. 2008 , bdsk-url-1 =

2008
[147]

Self-consistent extension of random-phase approximation enlarged beyond particle-hole configurations , volume =

Gambacurta, Danilo and Catara, Francesco and Grasso, Marcella , doi =. Self-consistent extension of random-phase approximation enlarged beyond particle-hole configurations , volume =. Phys. Rev. C , pages =. 2009 , bdsk-url-1 =

2009
[148]

Papakonstantinou and R

P. Papakonstantinou and R. Roth , doi =. Second random phase approximation and renormalized realistic interactions , volume =. Phys. Lett. B , pages =. 2009 , bdsk-url-1 =

2009
[149]

and Catara, F

Gambacurta, D. and Catara, F. , doi =. Extended second random phase approximation applied to metallic clusters , volume =. Phys. Rev. B , pages =. 2010 , bdsk-url-1 =

2010
[150]

and Schuck, P

Jema\"i, M. and Schuck, P. , doi =. Self-consistent RPA based on a many-body vacuum , volume =. Phys. At. Nucl. , pages =. 2011 , bdsk-url-1 =

2011
[151]

Collective excitations in Random Phase Approximation and beyond , volume =

F Catara and D Gambacurta and M Grasso and M Sambataro , doi =. Collective excitations in Random Phase Approximation and beyond , volume =. J. Phys.: Conf. Ser. , pages =. 2011 , bdsk-url-1 =

2011
[152]

Residual interaction in second random-phase approximation with density-dependent forces: rearrangement terms , volume =

D Gambacurta and M Grasso and F Catara , doi =. Residual interaction in second random-phase approximation with density-dependent forces: rearrangement terms , volume =. J. Phys. G: Nucl. Part. Phys. , pages =. 2011 , bdsk-url-1 =

2011
[153]

and Co', G

De Donno, V. and Co', G. and Anguiano, M. and Lallena, A. M. , doi =. Self-consistent continuum random-phase approximation calculations with finite-range interactions , volume =. Phys. Rev. C , pages =. 2011 , bdsk-url-1 =

2011
[154]

Verma, Prakash and Bartlett, Rodney J. , doi =. J. Chem. Phys. , pages =. 2012 , bdsk-url-1 =

2012
[155]

Microscopic theory of the

Brenna, Marco and Col\`o, Gianluca and Bortignon, Pier Francesco , doi =. Microscopic theory of the. Phys. Rev. C , pages =. 2012 , bdsk-url-1 =

2012
[156]

2013 , bdsk-url-1 =

Bleiziffer, Patrick and He. 2013 , bdsk-url-1 =. doi:10.1063/1.4818984 , journal =

2013 doi
[157]

Self-consistent random-phase approximation from a coupled-cluster wave function perspective , volume =

Jema\". Self-consistent random-phase approximation from a coupled-cluster wave function perspective , volume =. 2013 , bdsk-url-1 =. doi:10.1103/PhysRevC.88.044004 , journal =

2013 doi
[158]

and Lo Iudice, N

Knapp, F. and Lo Iudice, N. and Vesel\'y, P. and Andreozzi, F. and De Gregorio, G. and Porrino, A. , doi =. Dipole response in ^. Phys. Rev. C , pages =. 2014 , bdsk-url-1 =

2014
[159]

Tselyaev, V. I. , doi =. AIP Conf. Proc. , pages =. 2014 , bdsk-url-1 =

2014
[160]

and Ren, Xinguo and Rubio, Angel and Scheffler, Matthias and Rinke, Patrick , doi =

Hellgren, Maria and Caruso, Fabio and Rohr, Daniel R. and Ren, Xinguo and Rubio, Angel and Scheffler, Matthias and Rinke, Patrick , doi =. Static correlation and electron localization in molecular dimers from the self-consistent RPA and GW approximation , volume =. Phys. Rev. ...

2015
[161]

and Schuck, Peter and Tohyama, Mitsuru , doi =

Delion, Doru S. and Schuck, Peter and Tohyama, Mitsuru , doi =. Sum-rules and Goldstone modes from extended random phase approximation theories in Fermi systems with spontaneously broken symmetries , volume =. Eur. Phys. J. B , pages =. 2016 , bdsk-url-1 =

2016
[162]

Progress in many-body theory with the equation of motion method: Time-dependent density matrix meets self-consistent RPA and applications to solvable models , volume =

Schuck, Peter and Tohyama, Mitsuru , doi =. Progress in many-body theory with the equation of motion method: Time-dependent density matrix meets self-consistent RPA and applications to solvable models , volume =. Phys. Rev. B , pages =. 2016 , bdsk-url-1 =

2016
[163]

Generalized Optimized Effective Potential for Orbital Functionals and Self-Consistent Calculation of Random Phase Approximations , volume =

Jin, Ye and Zhang, Du and Chen, Zehua and Su, Neil Qiang and Yang, Weitao , doi =. Generalized Optimized Effective Potential for Orbital Functionals and Self-Consistent Calculation of Random Phase Approximations , volume =. J. Phys. Chem. Lett. , pages =. 2017 , bdsk-url-1 =

2017
[164]

and Smetana, A

Terasaki, J. and Smetana, A. and. 2017 , bdsk-url-1 =. doi:10.1063/1.5007650 , journal =

2017 doi
[165]

and Balasubramani, Sree Ganesh and Furche, Filipp , doi =

Voora, Vamsee K. and Balasubramani, Sree Ganesh and Furche, Filipp , doi =. Variational generalized Kohn-Sham approach combining the random-phase-approximation and Green's-function methods , volume =. Phys. Rev. A , pages =. 2019 , bdsk-url-1 =

2019
[166]

Jing Li and N. D. Drummond and Peter Schuck and Valerio Olevano , doi =. SciPost Phys. , pages =. 2019 , bdsk-url-1 =

2019
[167]

and Schuck, P

Jema\"i, M. and Schuck, P. , doi =. Coupled self-consistent random-phase approximation equations for even and odd particle numbers: Tests with solvable models , volume =. Phys. Rev. C , pages =. 2019 , bdsk-url-1 =

2019
[168]

Olevano, Valerio and Toulouse, Julien and Schuck, Peter , doi =. J. Chem. Phys. , pages =. 2019 , bdsk-url-1 =

2019
[169]

Application of the renormalized random-phase approximation to polarized Fermi gases , volume =

Durel, David and Urban, Michael , doi =. Application of the renormalized random-phase approximation to polarized Fermi gases , volume =. Phys. Rev. A , pages =. 2020 , bdsk-url-1 =

2020
[170]

and Schuck, P

Jema\"i, M. and Schuck, P. , doi =. Symmetry conserving coupled cluster doubles wave function and the self-consistent odd particle number RPA , volume =. Eur. Phys. J. A , pages =. 2020 , bdsk-url-1 =

2020
[171]

Schuck and D.S

P. Schuck and D.S. Delion and J. Dukelsky and M. Jema\"i and E. Litvinova and G. R. Equation of Motion Method for strongly correlated Fermi systems and Extended RPA approaches , volume =. 2021 , bdsk-url-1 =. doi:10.1016/j.physrep.2021.06.001 , journal =

2021 doi
[172]

Chatterjee, Koushik and Pernal, Katarzyna , doi =. J. Chem. Phys. , pages =. 2012 , bdsk-url-1 =

2012
[173]

Extended random phase approximation method for atomic excitation energies from correlated and variationally optimized second-order density matrices , volume =

Helen. Extended random phase approximation method for atomic excitation energies from correlated and variationally optimized second-order density matrices , volume =. 2013 , bdsk-url-1 =. doi:10.1016/j.comptc.2012.09.036 , journal =

2013 doi
[174]

Pernal, Katarzyna and Chatterjee, Koushik and Kowalski, Piotr H. , doi =. J. Chem. Phys. , pages =. 2014 , bdsk-url-1 =

2014
[175]

Intergeminal Correction to the Antisymmetrized Product of Strongly Orthogonal Geminals Derived from the Extended Random Phase Approximation , volume =

Pernal, Katarzyna , doi =. Intergeminal Correction to the Antisymmetrized Product of Strongly Orthogonal Geminals Derived from the Extended Random Phase Approximation , volume =. J. Chem. Theory Comput. , pages =. 2014 , bdsk-url-1 =

2014
[176]

Eugene, III , doi =

DePrince, A. Eugene, III , doi =. J. Chem. Phys. , pages =. 2016 , bdsk-url-1 =

2016
[177]

Electron Correlation from the Adiabatic Connection for Multireference Wave Functions , volume =

Pernal, Katarzyna , doi =. Electron Correlation from the Adiabatic Connection for Multireference Wave Functions , volume =. Phys. Rev. Lett. , pages =. 2018 , bdsk-url-1 =

2018
[178]

Eugene, III , doi =

Maradzike, Elvis and DePrince, A. Eugene, III , doi =. J. Chem. Phys. , pages =. 2018 , bdsk-url-1 =

2018
[179]

Explicit treatment of N-body correlations within a density-matrix formalism , volume =

Wang Shun-jin and W Cassing , doi =. Explicit treatment of N-body correlations within a density-matrix formalism , volume =. Ann. Phys. , pages =. 1985 , bdsk-url-1 =

1985
[180]

and Wang, S

Cassing, W. and Wang, S. J. , doi =. Numerical study of a selfconsistent two-body theory for colliding ions in a one-dimensional model , volume =. Z. Phys. A , pages =. 1987 , bdsk-url-1 =

1987
[181]

and Gong, M

Tohyama, M. and Gong, M. , doi =. Small amplitude limit of the time dependent density matrix theory , volume =. Z. Phys. A , pages =. 1989 , bdsk-url-1 =

1989
[182]

and Tohyama, M

Gong, M. and Tohyama, M. , doi =. Application of a time-dependent density-matrix formalism , volume =. Z. Phys. A , pages =. 1990 , bdsk-url-1 =

1990
[183]

Peter and W

A. Peter and W. Cassing and J.M. H\"auser and A. Pfitzner , doi =. Microscopic analysis of two-body correlations in light nuclei , volume =. Nucl. Phys. A , pages =. 1994 , bdsk-url-1 =

1994
[184]

Tohyama, Mitsuru , doi =. Prog. Theor. Phys. , pages =. 1994 , bdsk-url-1 =

1994
[185]

and Tohyama, M

Takahara, S. and Tohyama, M. and Schuck, P. , doi =. Extended RPA with ground-state correlations in a solvable model , volume =. Phys. Rev. C , pages =. 2004 , bdsk-url-1 =

2004
[186]

and Takahara, S

Tohyama, M. and Takahara, S. and Schuck, P. , doi =. Extended RPA with ground-state correlations , volume =. Eur. Phys. J. A , pages =. 2004 , bdsk-url-1 =

2004
[187]

and Schuck, P

Tohyama, M. and Schuck, P. , doi =. Eigenstates of the time-dependent density-matrix theory , volume =. Eur. Phys. J. A , pages =. 2004 , bdsk-url-1 =

2004
[188]

and Schuck, P

Tohyama, M. and Schuck, P. , doi =. Spurious modes in Extended RPA theories , volume =. Eur. Phys. J. A , pages =. 2004 , bdsk-url-1 =

2004
[189]

Tohyama, Mitsuru , doi =. Prog. Theor. Phys. , pages =. 2005 , bdsk-url-1 =

2005
[190]

Damping of collective states in an extended random-phase approximation with ground-state correlations , volume =

Tohyama, Mitsuru , doi =. Damping of collective states in an extended random-phase approximation with ground-state correlations , volume =. Phys. Rev. C , pages =. 2007 , bdsk-url-1 =

2007
[191]

and Schuck, P

Tohyama, M. and Schuck, P. , doi =. Spurious states in extended. Eur. Phys. J. A , pages =. 2007 , bdsk-url-1 =

2007
[192]

and Schuck, P

Tohyama, M. and Schuck, P. , doi =. Extended Random-Phase Approximation with Three-Body Ground-State Correlations , volume =. Eur. Phys. J. A , pages =. 2008 , bdsk-url-1 =

2008
[193]

and Schuck, P

Tohyama, M. and Schuck, P. , doi =. Density-matrix formalism with three-body ground-state correlations , volume =. Eur. Phys. J. A , pages =. 2010 , bdsk-url-1 =

2010
[194]

Odd particle number random-phase approximation and extensions: Applications to particle and hole states around

Tohyama, Mitsuru and Schuck, Peter , doi =. Odd particle number random-phase approximation and extensions: Applications to particle and hole states around. Phys. Rev. C , pages =. 2013 , bdsk-url-1 =

2013
[195]

New truncation scheme for a time-dependent density-matrix approach applied to the ground state of ^

Tohyama, Mitsuru , doi =. New truncation scheme for a time-dependent density-matrix approach applied to the ground state of ^. Phys. Rev. C , pages =. 2015 , bdsk-url-1 =

2015
[196]

and Tohyama, M

Schuck, P. and Tohyama, M. , doi =. Self-consistent RPA and the time-dependent density matrix approach , volume =. Eur. Phys. J. A , pages =. 2016 , bdsk-url-1 =

2016
[197]

Extension of the Shell Model for Heavy Spherical Nuclei , volume =

Baranger, Michel , doi =. Extension of the Shell Model for Heavy Spherical Nuclei , volume =. Phys. Rev. , pages =. 1960 , bdsk-url-1 =

1960
[198]

Marumori, Toshio , doi =. Prog. Theor. Phys. , pages =. 1960 , bdsk-url-1 =

1960
[199]

Quasi-particles and collective states of spherical nuclei , volume =

Arvieu, R and Veneroni, M , journal =. Quasi-particles and collective states of spherical nuclei , volume =
[200]

Belyaev , doi =

S.T. Belyaev , doi =. Time-dependent self-consistent field and collective nuclear Hamiltonian , volume =. Nucl. Phys. , pages =. 1965 , bdsk-url-1 =

1965
[201]

Hirsch and Peter O

Jorge G. Hirsch and Peter O. Hess and Osvaldo Civitarese , doi =. Double beta decay and the proton-neutron residual interaction , volume =. Phys. Lett. B , pages =. 1997 , bdsk-url-1 =

1997
[202]

F. Krmpoti. Ikeda sum rule, self-consistency and double-beta decay in the renormalized quasiparticle random phase approximation , volume =. 1997 , bdsk-url-1 =. doi:10.1016/S0375-9474(97)80010-3 , journal =

1997 doi
[203]

and Suhonen, J

Toivanen, J. and Suhonen, J. , doi =. Microscopic quasiparticle-phonon description of odd-mass. Phys. Rev. C , pages =. 1998 , bdsk-url-1 =

1998
[204]

and Bertsch, G

Hagino, K. and Bertsch, G. F. , doi =. Random-phase approximation approach to rotational symmetry restoration in a three-level Lipkin model , volume =. Phys. Rev. C , pages =. 2000 , bdsk-url-1 =

2000
[205]

and Bennaceur, R

Rabhi, A. and Bennaceur, R. and Chanfray, G. and Schuck, P. , doi =. Self-consistent quasiparticle random phase approximation for the description of superfluid Fermi systems , volume =. Phys. Rev. C , pages =. 2002 , bdsk-url-1 =

2002
[206]

Low-energy nuclear spectroscopy in a microscopic multiphonon approach , volume =

N Lo Iudice and V Yu Ponomarev and Ch Stoyanov and A V Sushkov and V V Voronov , doi =. Low-energy nuclear spectroscopy in a microscopic multiphonon approach , volume =. J. Phys. G: Nucl. Part. Phys. , pages =. 2012 , bdsk-url-1 =

2012
[207]

1961 , bdsk-url-1 =

A study of some approximations of the pairing force , volume =. 1961 , bdsk-url-1 =. doi:10.1016/0029-5582(61)90050-5 , journal =

1961 doi
[208]

and Mariano, A

Hirsch, J.G. and Mariano, A. and Dukelsky, J. and Schuck, P. , doi =. Ann. Phys. , pages =. 2002 , bdsk-url-1 =

2002
[209]

Dukelsky and G.G

J. Dukelsky and G.G. Dussel and J.G. Hirsch and P. Schuck , doi =. Comparison between exact and approximate treatments of the pairing interaction for finite Fermi systems , volume =. Nucl. Phys. A , pages =. 2003 , bdsk-url-1 =

2003
[210]

Exchange-correlation energy from pairing matrix fluctuation and the particle-particle random-phase approximation , volume =

van Aggelen, Helen and Yang, Yang and Yang, Weitao , doi =. Exchange-correlation energy from pairing matrix fluctuation and the particle-particle random-phase approximation , volume =. Phys. Rev. A , pages =. 2013 , bdsk-url-1 =

2013
[211]

and Peng, Degao and Yang, Weitao , doi =

Yang, Yang and van Aggelen, Helen and Steinmann, Stephan N. and Peng, Degao and Yang, Weitao , doi =. J. Chem. Phys. , pages =. 2013 , bdsk-url-1 =

2013
[212]

Analytic gradients

Zhang, Du and Peng, Degao and Zhang, Peng and Yang, Weitao , doi =. Analytic gradients. Phys. Chem. Chem. Phys. , pages =. 2015 , bdsk-url-1 =

2015
[213]

Occupation numbers in strongly polarized Fermi gases and the Luttinger theorem , volume =

Urban, Michael and Schuck, Peter , doi =. Occupation numbers in strongly polarized Fermi gases and the Luttinger theorem , volume =. Phys. Rev. A , pages =. 2014 , bdsk-url-1 =

2014
[214]

Yang, Yang and Peng, Degao and Lu, Jianfeng and Yang, Weitao , doi =. J. Chem. Phys. , pages =. 2014 , bdsk-url-1 =

2014
[215]

van Aggelen, Helen and Yang, Yang and Yang, Weitao , doi =. J. Chem. Phys. , pages =. 2014 , bdsk-url-1 =

2014
[216]

Accurate atomic quantum defects from particle-particle random phase approximation , volume =

Yang Yang, Kieron Burke and Weitao Yang , doi =. Accurate atomic quantum defects from particle-particle random phase approximation , volume =. Mol. Phys. , pages =. 2016 , bdsk-url-1 =

2016
[217]

A cubic scaling algorithm for excited states calculations in particle--particle random phase approximation , volume =

Jianfeng Lu and Haizhao Yang , doi =. A cubic scaling algorithm for excited states calculations in particle--particle random phase approximation , volume =. J. Comput. Phys. , pages =. 2017 , bdsk-url-1 =

2017
[218]

and Ren, Xinguo , doi =

Tahir, Muhammad N. and Ren, Xinguo , doi =. Comparing particle-particle and particle-hole channels of the random phase approximation , volume =. Phys. Rev. B , pages =. 2019 , bdsk-url-1 =

2019
[219]

Accurate Excitation Energies of Point Defects from Fast Particle--Particle Random Phase Approximation Calculations , volume =

Li, Jiachen and Jin, Yu and Yu, Jincheng and Yang, Weitao and Zhu, Tianyu , doi =. Accurate Excitation Energies of Point Defects from Fast Particle--Particle Random Phase Approximation Calculations , volume =. J. Phys. Chem. Lett. , pages =. 2024 , bdsk-url-1 =

2024
[220]

and Primakoff, H

Holstein, T. and Primakoff, H. , doi =. Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet , volume =. Phys. Rev. , pages =. 1940 , bdsk-url-1 =

1940
[221]

Beliaev and V.G

S.T. Beliaev and V.G. Zelevinsky , doi =. Anharmonic effects of quadrupole oscillations of spherical nuclei , volume =. Nucl. Phys. , pages =. 1962 , bdsk-url-1 =

1962
[222]

Moshinsky and T.H

M. Moshinsky and T.H. Seligman , date-modified =. Group theory and second quantization for nonorthogonal orbitals , volume =. 1971 , bdsk-url-1 =. doi:10.1016/0003-4916(71)90191-6 , journal =

1971 doi
[223]

Investigation of non-Hermitian Hamiltonians in the Heisenberg picture , volume =

Yan Gang Miao and Zhen Ming Xu , doi =. Investigation of non-Hermitian Hamiltonians in the Heisenberg picture , volume =. Phys. Lett. A , pages =. 2016 , bdsk-url-1 =

2016
[224]

Non-Hermitian Heisenberg representation , volume =

Miloslav Znojil , doi =. Non-Hermitian Heisenberg representation , volume =. Phys. Lett. A , pages =. 2015 , bdsk-url-1 =

2015
[225]

Time-Dependent Pseudo-Hermitian Hamiltonians and a Hidden Geometric Aspect of Quantum Mechanics , volume =

Mostafazadeh, Ali , doi =. Time-Dependent Pseudo-Hermitian Hamiltonians and a Hidden Geometric Aspect of Quantum Mechanics , volume =. Entropy , pages =. 2020 , bdsk-url-1 =

2020
[226]

and Baym, G

Kadanoff, L.P. and Baym, G. , publisher =. Quantum Statistical Mechanics: Green's Function Methods in Equilibrium and Nonequilibrium Problems , year =
[227]

and Reining, Lucia and Ceperley, David M

Martin, Richard M. and Reining, Lucia and Ceperley, David M. , doi =. Interacting Electrons: Theory and Computational Approaches , year =
[228]

Nuclear rotation and the random-phase approximation , volume =

Eugene R Marshalek and Joseph Weneser , doi =. Nuclear rotation and the random-phase approximation , volume =. Ann. Phys. , pages =. 1969 , bdsk-url-1 =

1969
[229]

and Weneser, Joseph , doi =

Marshalek, Eugene R. and Weneser, Joseph , doi =. Nuclear Rotation and Boson Expansions. I , volume =. Phys. Rev. C , pages =. 1970 , bdsk-url-1 =

1970
[230]

Marshalek , doi =

E.R. Marshalek , doi =. Boson expansions and broken symmetry , volume =. Ann. Phys. , pages =. 1982 , bdsk-url-1 =

1982
[231]

Marshalek, E. R. , doi =. Reconstituting rotational band structure from deformed boson expansions: Generic treatment , volume =. Phys. Rev. C , pages =. 1987 , bdsk-url-1 =

1987
[232]

Marshalek, E. R. , doi =. Reconstituting rotational band structure from deformed boson expansions: Model test , volume =. Phys. Rev. C , pages =. 1987 , bdsk-url-1 =

1987
[233]

Catara and Ph

F. Catara and Ph. Chomaz and N. High-lying two-phonon states in 40Ca , volume =. 1989 , bdsk-url-1 =. doi:10.1016/0370-2693(89)90606-0 , journal =

1989 doi
[234]

Anharmonicity in extended RPA , volume =

D Beaumel and Ph Chomaz , doi =. Anharmonicity in extended RPA , volume =. Ann. Phys. , pages =. 1992 , bdsk-url-1 =

1992
[235]

and Catara, F

Sambataro, M. and Catara, F. , doi =. Extended random-phase approximation in a boson formalism with Pauli principle , volume =. Phys. Rev. C , pages =. 1995 , bdsk-url-1 =

1995
[236]

and Suhonen, J

Sambataro, M. and Suhonen, J. , doi =. Quasiparticle random-phase approximation and. Phys. Rev. C , pages =. 1997 , bdsk-url-1 =

1997
[237]

Lanza and M.V

E.G. Lanza and M.V. Andr. Role of anharmonicities and nonlinearities in heavy ion collisions A microscopic approach , volume =. 1997 , bdsk-url-1 =. doi:10.1016/S0375-9474(96)00444-7 , journal =

1997 doi
[238]

Volpe and Ph

C. Volpe and Ph. Chomaz and M.V. Andr\'es and F. Catara and E.G. Lanza , doi =. Boson expansion methods applied to a two-level model in the study of multiple giant resonances , volume =. Nucl. Phys. A , pages =. 1999 , bdsk-url-1 =

1999
[239]

and Dinh Dang, N

Sambataro, M. and Dinh Dang, N. , doi =. Variational approach to collective excitations , volume =. Phys. Rev. C , pages =. 1999 , bdsk-url-1 =

1999
[240]

Quasiparticle random-phase approximation with an optimal ground state , volume =

F Simkovic and M Smotl\'ak and A A Raduta , doi =. Quasiparticle random-phase approximation with an optimal ground state , volume =. J. Phys. G: Nucl. Part. Phys. , pages =. 2001 , bdsk-url-1 =

2001
[241]

Sambataro, M. , doi =. Testing a New Class of Phonon Operators for RPA-Like Calculations Within an Exactly Solvable Model , volume =. Czech. J. Phys. , pages =. 2002 , bdsk-url-1 =

2002
[242]

and Catara, F

Grasso, M. and Catara, F. and Sambataro, M. , doi =. Boson-mapping-based extension of the random-phase approximation in a three-level Lipkin model , volume =. Phys. Rev. C , pages =. 2002 , bdsk-url-1 =

2002
[243]

Sambataro , doi =

M. Sambataro , doi =. RPA-like calculations within limited particle-hole spaces , volume =. Nucl. Phys. A , pages =. 2003 , bdsk-url-1 =

2003
[244]

Lanza, E. G. and Catara, F. and Andr\'es, M. V. and Chomaz, Ph. and Fallot, M. and Scarpaci, J. A. , doi =. Microscopic calculations of double and triple giant resonance excitations in heavy ion collisions , volume =. Phys. Rev. C , pages =. 2006 , bdsk-url-1 =

2006
[245]

and Sambataro, M

Gambacurta, D. and Sambataro, M. and Catara, F. , doi =. Solvable many-level pairing model in a boson formalism , volume =. Phys. Rev. C , pages =. 2006 , bdsk-url-1 =

2006
[246]

Eshuis, Henk and Furche, Filipp , doi =. J. Chem. Phys. , pages =. 2012 , bdsk-url-1 =

2012
[247]

Hehn, Anna-Sophia and Klopper, Wim , doi =. J. Chem. Phys. , pages =. 2013 , bdsk-url-1 =

2013
[248]

and Klopper, Wim , doi =

Hehn, Anna-Sophia and Tew, David P. and Klopper, Wim , doi =. J. Chem. Phys. , pages =. 2015 , bdsk-url-1 =

2015
[249]

Traore, Diata and Giner, Emmanuel and Toulouse, Julien , doi =. J. Chem. Phys. , pages =. 2023 , bdsk-url-1 =

2023
[250]

A Mountaineering Strategy to Excited States: Highly Accurate Reference Energies and Benchmarks , volume =

Loos, Pierre-Fran. A Mountaineering Strategy to Excited States: Highly Accurate Reference Energies and Benchmarks , volume =. 2018 , bdsk-url-1 =. doi:10.1021/acs.jctc.8b00406 , journal =

2018 doi
[251]

Reference Energies for Double Excitations , volume =

Loos, Pierre-Fran. Reference Energies for Double Excitations , volume =. 2019 , bdsk-url-1 =. doi:10.1021/acs.jctc.8b01205 , journal =

2019 doi
[252]

The Quest for Highly Accurate Excitation Energies: A Computational Perspective , volume =

Loos, Pierre-Fran. The Quest for Highly Accurate Excitation Energies: A Computational Perspective , volume =. 2020 , bdsk-url-1 =. doi:10.1021/acs.jpclett.0c00014 , journal =

2020 doi
[253]

Is ADC(3) as Accurate as CC3 for Valence and Rydberg Transition Energies? , volume =

Loos, Pierre-Fran. Is ADC(3) as Accurate as CC3 for Valence and Rydberg Transition Energies? , volume =. 2020 , bdsk-url-1 =. doi:10.1021/acs.jpclett.9b03652 , journal =

2020 doi
[254]

Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Exotic Molecules and Radicals , volume =

Loos, Pierre-Fran. Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Exotic Molecules and Radicals , volume =. 2020 , bdsk-url-1 =. doi:10.1021/acs.jctc.0c00227 , journal =

2020 doi
[255]

A Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Medium Sized Molecules , volume =

Loos, Pierre-Fran. A Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Medium Sized Molecules , volume =. 2020 , bdsk-url-1 =. doi:10.1021/acs.jctc.9b01216 , journal =

2020 doi
[256]

A Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Bicyclic Systems , volume =

Loos, Pierre-Fran. A Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Bicyclic Systems , volume =. 2021 , bdsk-url-1 =. doi:10.1021/acs.jpca.1c08524 , journal =

2021 doi
[257]

Reference Energies for Intramolecular Charge-Transfer Excitations , volume =

Loos, Pierre-Fran. Reference Energies for Intramolecular Charge-Transfer Excitations , volume =. 2021 , bdsk-url-1 =. doi:10.1021/acs.jctc.1c00226 , journal =

2021 doi
[258]

2021 , bdsk-url-1 =

QUESTDB: A database of highly accurate excitation energies for the electronic structure community , volume =. 2021 , bdsk-url-1 =. doi:10.1002/wcms.1517 , journal =

2021 doi
[259]

A mountaineering strategy to excited states: Accurate vertical transition energies and benchmarks for substituted benzenes , volume =

Loos, Pierre-Fran. A mountaineering strategy to excited states: Accurate vertical transition energies and benchmarks for substituted benzenes , volume =. 2024 , bdsk-url-1 =. doi:10.1002/jcc.27358 , journal =

2024 doi
[260]

Random-phase approximation and its applications in computational chemistry and materials science , volume =

Ren, Xinguo and Rinke, Patrick and Joas, Christian and Scheffler, Matthias , doi =. Random-phase approximation and its applications in computational chemistry and materials science , volume =. J. Mater. Sci. , pages =. 2012 , bdsk-url-1 =

2012
[261]

McLACHLAN, A. D. and BALL, M. A. , doi =. Time-Dependent Hartree---Fock Theory for Molecules , volume =. Rev. Mod. Phys. , pages =. 1964 , bdsk-url-1 =

1964
[262]

The surface energy of a bounded electron gas , volume =

J Harris and R O Jones , doi =. The surface energy of a bounded electron gas , volume =. J. Phys. F: Met. Phys. , pages =. 1974 , bdsk-url-1 =

1974
[263]

Langreth and J.P

D.C. Langreth and J.P. Perdew , doi =. The exchange-correlation energy of a metallic surface , volume =. Solid State Commun. , pages =. 1975 , bdsk-url-1 =

1975
[264]

and Lundqvist, B

Gunnarsson, O. and Lundqvist, B. I. , doi =. Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism , volume =. Phys. Rev. B , pages =. 1976 , bdsk-url-1 =

1976
[265]

and Perdew, John P

Langreth, David C. and Perdew, John P. , doi =. Exchange-correlation energy of a metallic surface: Wave-vector analysis , volume =. Phys. Rev. B , pages =. 1977 , bdsk-url-1 =

1977
[266]

and Jansen, Georg and Savin, Andreas and \'Angy\'an, J\'anos G

Toulouse, Julien and Gerber, Iann C. and Jansen, Georg and Savin, Andreas and \'Angy\'an, J\'anos G. , doi =. Adiabatic-Connection Fluctuation-Dissipation Density-Functional Theory Based on Range Separation , volume =. Phys. Rev. Lett. , pages =. 2009 , bdsk-url-1 =

2009
[267]

and Savin, Andreas , doi =

Toulouse, Julien and Zhu, Wuming and \'Angy\'an, J\'anos G. and Savin, Andreas , doi =. Range-separated density-functional theory with the random-phase approximation: Detailed formalism and illustrative applications , volume =. Phys. Rev. A , pages =. 2010 , bdsk-url-1 =

2010
[268]

2011 , bdsk-url-1 =

Correlation Energy Expressions from the Adiabatic-Connection Fluctuation-Dissipation Theorem Approach , volume =. 2011 , bdsk-url-1 =. doi:10.1021/ct200501r , journal =

2011 doi
[269]

and Furche, Filipp , doi =

Eshuis, Henk and Bates, Jefferson E. and Furche, Filipp , doi =. Electron correlation methods based on the random phase approximation , volume =. Theor. Chem. Acc. , pages =. 2012 , bdsk-url-1 =

2012
[270]

2015 , bdsk-url-1 =

Mussard, Bastien and Reinhardt, Peter and. 2015 , bdsk-url-1 =. doi:10.1063/1.4918710 , journal =

2015 doi
[271]

Freeman, David L. , doi =. Coupled-cluster expansion applied to the electron gas: Inclusion of ring and exchange effects , volume =. Phys. Rev. B , pages =. 1977 , bdsk-url-1 =

1977
[272]

and Henderson, Thomas M

Scuseria, Gustavo E. and Henderson, Thomas M. and Sorensen, Danny C. , doi =. J. Chem. Phys. , pages =. 2008 , bdsk-url-1 =

2008
[273]

Jansen, Georg and Liu, Ru-Fen and \'Angy\'an, J\'anos G. , doi =. J. Chem. Phys. , pages =. 2010 , bdsk-url-1 =

2010
[274]

and Bartlett, Rodney J

Lotrich, V. and Bartlett, Rodney J. , doi =. J. Chem. Phys. , pages =. 2011 , bdsk-url-1 =

2011
[275]

Teale and Sonia Coriani and Thomas Bondo Pedersen and Trygve Helgaker , doi =

Wim Klopper and Andrew M. Teale and Sonia Coriani and Thomas Bondo Pedersen and Trygve Helgaker , doi =. Spin flipping in ring-coupled-cluster-doubles theory , volume =. Chem. Phys. Lett. , pages =. 2011 , bdsk-url-1 =

2011
[276]

and Henderson, Thomas M

Scuseria, Gustavo E. and Henderson, Thomas M. and Bulik, Ireneusz W. , doi =. J. Chem. Phys. , pages =. 2013 , bdsk-url-1 =

2013
[277]

and van Aggelen, Helen and Yang, Weitao , doi =

Peng, Degao and Steinmann, Stephan N. and van Aggelen, Helen and Yang, Weitao , doi =. J. Chem. Phys. , pages =. 2013 , bdsk-url-1 =

2013
[278]

Ring coupled-cluster doubles correction to geminal wavefunctions , volume =

\'Agnes Szabados and \'Ad\'am Marg\'ocsy , doi =. Ring coupled-cluster doubles correction to geminal wavefunctions , volume =. Mol. Phys. , pages =. 2017 , bdsk-url-1 =

2017
[279]

Berkelbach, Timothy C. , doi =. J. Chem. Phys. , pages =. 2018 , bdsk-url-1 =

2018
[280]

and Szabados, \'A

Marg\'ocsy, \'A. and Szabados, \'A. , doi =. J. Chem. Phys. , pages =. 2020 , bdsk-url-1 =

2020
[281]

Rishi, Varun and Perera, Ajith and Bartlett, Rodney J. , doi =. J. Chem. Phys. , pages =. 2020 , bdsk-url-1 =

2020
[282]

Variational energy functionals of the Green function and of the density tested on molecules , volume =

Dahlen, Nils Erik and van Leeuwen, Robert and von Barth, Ulf , doi =. Variational energy functionals of the Green function and of the density tested on molecules , volume =. Phys. Rev. A , pages =. 2006 , bdsk-url-1 =

2006
[283]

and Hellgren, Maria and Ren, Xinguo and Rinke, Patrick and Rubio, Angel and Scheffler, Matthias , doi =

Caruso, Fabio and Rohr, Daniel R. and Hellgren, Maria and Ren, Xinguo and Rinke, Patrick and Rubio, Angel and Scheffler, Matthias , doi =. Bond Breaking and Bond Formation: How Electron Correlation is Captured in Many-Body Perturbation Theory and Density-Functional Theory , vo...

2013
[284]

Inter-subband optical absorption in space-charge layers on semiconductor surfaces , volume =

Ando, Tsuneya , doi =. Inter-subband optical absorption in space-charge layers on semiconductor surfaces , volume =. Z. Phys. B , pages =. 1977 , bdsk-url-1 =

1977
[285]

and Soven, Paul , doi =

Zangwill, A. and Soven, Paul , doi =. Density-functional approach to local-field effects in finite systems: Photoabsorption in the rare gases , volume =. Phys. Rev. A , pages =. 1980 , bdsk-url-1 =

1980
[286]

Stott, M. J. and Zaremba, E. , doi =. Linear-response theory within the density-functional formalism: Application to atomic polarizabilities , volume =. Phys. Rev. A , pages =. 1980 , bdsk-url-1 =

1980
[287]

Gross and W

E.K.U. Gross and W. Kohn , booktitle =. Time-Dependent Density-Functional Theory , volume =. 1990 , bdsk-url-1 =. doi:10.1016/S0065-3276(08)60600-0 , editor =

1990 doi
[288]

Molecular tests of the random phase approximation to the exchange-correlation energy functional , volume =

Furche, Filipp , doi =. Molecular tests of the random phase approximation to the exchange-correlation energy functional , volume =. Phys. Rev. B , pages =. 2001 , bdsk-url-1 =

2001
[289]

Coupled hartree-fock and second order polarization propagator calculations of indirect nuclear spin-spin coupling constants for diatomic molecules , volume =

Jens Oddershede and Poul J. Coupled hartree-fock and second order polarization propagator calculations of indirect nuclear spin-spin coupling constants for diatomic molecules , volume =. 1977 , bdsk-url-1 =. doi:10.1016/0301-0104(77)85154-9 , journal =

1977 doi
[290]

Molecular and Atomic Applications of Time-Dependent Hartree-Fock Theory , volume =

J. Molecular and Atomic Applications of Time-Dependent Hartree-Fock Theory , volume =. 1975 , bdsk-url-1 =. doi:10.1146/annurev.pc.26.100175.002043 , journal =

1975
[291]

Polarization Propagator Calculations , volume =

Jens Oddershede , booktitle =. Polarization Propagator Calculations , volume =. 1978 , bdsk-url-1 =. doi:10.1016/S0065-3276(08)60240-3 , editor =

1978 doi
[292]

M. A. Ball and A.D. McLachlan , doi =. Time-dependent Hartree-Fock theory , volume =. Mol. Phys. , pages =. 1964 , bdsk-url-1 =

1964
[293]

Dunning, Thom. H. and McKoy, Vincent , doi =. J. Chem. Phys. , pages =. 1967 , bdsk-url-1 =

1967
[294]

and McKoy, Vincent , doi =

Dunning, Thomas H., Jr. and McKoy, Vincent , doi =. J. Chem. Phys. , pages =. 1968 , bdsk-url-1 =

1968
[295]

Geometric approximation to two-particle green function for ethylene , volume =

Jan Linderberg and Mark Ratner , doi =. Geometric approximation to two-particle green function for ethylene , volume =. Chem. Phys. Lett. , pages =. 1970 , bdsk-url-1 =

1970
[296]

Shibuya, Tai‐ichi and McKoy, Vincent , doi =. J. Chem. Phys. , pages =. 1970 , bdsk-url-1 =

1970
[297]

Ostlund, N. S. and Karplus, M. , doi =. The self-consistent random phase approximation , volume =. Chem. Phys. Lett. , pages =. 1971 , bdsk-url-1 =

1971
[298]

1972 , bdsk-url-1 =

J. 1972 , bdsk-url-1 =. doi:10.1063/1.1677957 , journal =

1972 doi
[299]

Ho, J. C. and Segal, G. A. and Taylor, H. S. , doi =. J. Chem. Phys. , pages =. 1972 , bdsk-url-1 =

1972
[300]

Calculation of lower excited electronic levels of benzene with the Green's function method , volume =

Osamu Tanimoto and Kaoru Toyoda , doi =. Calculation of lower excited electronic levels of benzene with the Green's function method , volume =. Mol. Phys. , pages =. 1972 , bdsk-url-1 =

1972

Pith tools

Reviewed August 3, 2026 · model on record in the stance chip above.

[1] [1]

, date-added =

Nooijen,Marcel and Bartlett,Rodney J. , date-added =. A new method for excited states: Similarity transformed equation-of-motion coupled-cluster theory , volume =. 1997 , bdsk-url-1 =. doi:10.1063/1.474000 , journal =

doi:10.1063/1.474000 1997

[2] [2]

, date-added =

Nooijen,Marcel and Bartlett,Rodney J. , date-added =. Similarity transformed equation-of-motion coupled-cluster theory: Details, examples, and comparisons , volume =. 1997 , bdsk-url-1 =. doi:10.1063/1.474922 , journal =

doi:10.1063/1.474922 1997

[3] [3]

, date-added =

Nooijen,Marcel and Bartlett,Rodney J. , date-added =. Similarity transformed equation-of-motion coupled-cluster study of ionized, electron attached, and excited states of free base porphin , volume =. 1997 , bdsk-url-1 =. doi:10.1063/1.473635 , journal =

work page doi:10.1063/1.473635 1997

[4] [4]

Blase, Xavier and Duchemin, Ivan and Jacquemin, Denis and Loos, Pierre-Fran. The. 2020 , bdsk-url-1 =. doi:10.1021/acs.jpclett.0c01875 , journal =

doi:10.1021/acs.jpclett.0c01875 2020

[5] [5]

Biorthogonal quantum mechanics , url =

Dorje C Brody , date-added =. Biorthogonal quantum mechanics , url =. 2013 , bdsk-url-1 =. doi:10.1088/1751-8113/47/3/035305 , journal =

doi:10.1088/1751-8113/47/3/035305 2013

[6] [6]

2025 , bdsk-url-1 =

Loos, Pierre-Fran. 2025 , bdsk-url-1 =. doi:10.1021/acs.jctc.5c00975 , journal =

doi:10.1021/acs.jctc.5c00975 2025

[7] [7]

and Berkelbach, Timothy C

Lange, Malte F. and Berkelbach, Timothy C. , doi =. On the. J. Chem. Theory Comput. , pages =. 2018 , bdsk-url-1 =

2018

[8] [8]

Exact relationships between the GW approximation and equation-of-motion coupled-cluster theories through the quasi-boson formalism , volume =

T. Exact relationships between the GW approximation and equation-of-motion coupled-cluster theories through the quasi-boson formalism , volume =. 2023 , bdsk-url-1 =. doi:10.1063/5.0139716 , journal =

doi:10.1063/5.0139716 2023