Paper Citation Record · LEDGER

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials

As of 14 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 2 inbound Pith citation observations for arXiv:2501.01381.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.01381 v2

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measured 80 of 80 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T22:32:29.064509Z

measured 82 of 82 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

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Source: paper_references, paper_reference_links, observed 2026-08-07T12:28:12.885058Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-06T17:01:07.175324Z

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Outbound references

Observation 7111de1f-9aec-44e6-83fa-01a9fb6eb1fe · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.969324Z

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Observation 37f5b491-4d97-426a-81ec-c805e5bf152c · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 2

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Observation ce8ee8fe-fa02-41f0-b41e-e3d74eab9121 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 3

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Observation 7da3c461-7857-429e-b6fa-bf6c87f33436 · outbound

This paper cites To this end, we shall obtain quantitative versions of the local Weyl law and the Weyl law i n the phase space.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials To this end, we shall obtain quantitative versions of the local Weyl law and the Weyl law i n the phase space

Reference 4

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Observation a7669cdc-5ac4-42a5-8b89-6a0d59ed43b6 · outbound

This paper cites Thanks to Lemma 3.1 and 3.2 we then get ‖ Tzγ − γ ‖ 2 L2 ≤ C HS ( |z| ‖ γ ‖ 2 L∞ + 1 |z| ‖ (TzH −H) γ ‖ 2 L∞ ).

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Thanks to Lemma 3.1 and 3.2 we then get ‖ Tzγ − γ ‖ 2 L2 ≤ C HS ( |z| ‖ γ ‖ 2 L∞ + 1 |z| ‖ (TzH −H) γ ‖ 2 L∞ )

Reference 5

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Observation 3a565781-d899-43e8-b1c2-e8ff936be77d · outbound

This paper cites We study the minimizers γ := γ H of the Hartree energy functional Eρ given in Equation ( 14).

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials We study the minimizers γ := γ H of the Hartree energy functional Eρ given in Equation ( 14)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.062966Z

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Observation 64ce4f01-75d7-4554-bfc3-a80462f9febe · outbound

This paper cites Benedikter, V.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Benedikter, V

Reference 7

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Observation 264dbf41-f733-42fc-8b20-800c3308cb59 · outbound

This paper cites Benedikter, M.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Benedikter, M

Reference 8

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Observation 79c560fa-81f4-4b48-abee-fac040e8e599 · outbound

This paper cites Benedikter, M.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Benedikter, M

Reference 9

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Observation 5c7bfec5-bd7c-4b95-8a81-a6de564e4439 · outbound

This paper cites Benedikter, M.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Benedikter, M

Reference 10

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Observation 1ffe9e30-0641-4ce8-b3e3-96786667aef3 · outbound

This paper cites These estimates will be particularly helpful when we study interacting particle systems with Coulomb potentials.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials These estimates will be particularly helpful when we study interacting particle systems with Coulomb potentials

Reference 11

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Observation ff699c7e-f159-4cb4-bb35-d1370abb6fc1 · outbound

This paper cites Cárdenas.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Cárdenas

Reference 12

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Observation 4310d44e-3a8b-41d8-a098-77afacded550 · outbound

This paper cites On the effective dynamics of Bose-Fermi mixtures.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials On the effective dynamics of Bose-Fermi mixtures

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:32:29.172709Z

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Observation 08e6c948-410e-4e14-b4aa-e4b4f251df96 · outbound

This paper cites Chazarain.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Chazarain

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.786947Z

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Observation b6b0b447-c69b-4eed-88cb-cc34ac1511e1 · outbound

This paper cites Semiclassical Limit of the Bogoliubov-de Gennes Equation.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Semiclassical Limit of the Bogoliubov-de Gennes Equation

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:32:29.150887Z

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Observation 964e0df5-4728-4f48-9180-97186c3f68e8 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.771539Z

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Observation a8109deb-d3f6-40f0-aaad-dd0e5ac7094f · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.756451Z

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Observation 3bba5cd1-0694-4427-bb8a-3c35001e813e · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 18

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Observation 347cc339-2f9d-4566-b366-d8260051e432 · outbound

This paper cites The estimates for the L1 norm come from ( 25) withκ ≥ 0.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials The estimates for the L1 norm come from ( 25) withκ ≥ 0

Reference 19

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Observation a66c4211-8b14-4ec8-9afb-35a4c1bcb7ff · outbound

This paper cites Deleporte and G.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Deleporte and G

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.712487Z

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Observation 9731c5cd-9e4c-424e-849e-cd844a43dd36 · outbound

This paper cites Fournais, M.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Fournais, M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.697672Z

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Observation dab5d316-ab96-461a-ac0d-9e2c5ba56a91 · outbound

This paper cites Fournais and P.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Fournais and P

Reference 22

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Observation 5c7b10a3-e239-401a-86ef-e568fbcc835b · outbound

This paper cites They are uniformly bounded in ℏ thanks toLp estimates.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials They are uniformly bounded in ℏ thanks toLp estimates

Reference 23

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Observation 2f70ea56-2839-4a5f-8837-7f82a6d4e31c · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 24

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Observation bbd5a340-32b3-4903-99b5-ef69e5083bd0 · outbound

This paper cites The bound in B1/2 2,∞ then follows by deﬁnition of Besov spaces and the H s bound by the continuous embeddingB1/2 2,∞ ⊂H s fors< 1/2.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials The bound in B1/2 2,∞ then follows by deﬁnition of Besov spaces and the H s bound by the continuous embeddingB1/2 2,∞ ⊂H s fors< 1/2

Reference 25

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Observation 28363cbb-15c0-4568-8cbe-46aeb215b32e · outbound

This paper cites Girardot and N.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Girardot and N

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.622688Z

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Observation 7ac0102c-6139-43c4-915e-f6aa76749f88 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 27

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Observation d2c1a119-3936-4df5-b958-bdf8685d17c3 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 28

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Observation b0256f72-712b-4ed0-86bf-50940d085614 · outbound

This paper cites Benedikter.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Benedikter

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.893074Z

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Observation 4a7bd748-1c1a-4a13-a8ef-d57643cb3ec1 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.563825Z

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Observation 11def130-494c-4e91-9f56-4d6455e40f1e · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 31

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Observation d2abcd2d-4dd0-490d-b6ba-2ee2c458bbd0 · outbound

This paper cites Hörmander.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Hörmander

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.534114Z

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Observation dd184791-60b4-471c-b4f9-ac58d5e211e2 · outbound

This paper cites Iacobelli and L.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Iacobelli and L

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.519331Z

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Observation 1a5a79c7-bf59-4acb-bc79-c5bca5b27d28 · outbound

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Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.817516Z

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Observation 2ea9d988-31f0-4679-98ff-df5eee98f363 · outbound

This paper cites Kato and G.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Kato and G

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.489569Z

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Observation bb9f16ad-798b-4b3c-b8fe-7073b404d578 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.475212Z

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Observation ba68c8a4-8104-474e-9cb3-3e93bd698d6d · outbound

This paper cites Quantum Optimal Transport and Weak Topologies.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Quantum Optimal Transport and Weak Topologies

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-10T22:32:28.968547Z

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Unavailable: canonical work link unavailable.

Observation ce10169c-055b-47eb-a98f-91c138b19e53 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.460421Z

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Observation e8450977-02fa-4b6b-9b7d-c4638041600e · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.446207Z

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Observation f0ad351e-068c-40c7-be0a-f7ce8d74fa6f · outbound

This paper cites Lewin, P.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Lewin, P

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.431897Z

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Observation 1148a313-0faf-4b74-a85d-7587e903418a · outbound

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Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.417160Z

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Observation 322a7cf1-a389-4bf1-96f8-44ffdbc19b58 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.726932Z

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Observation 8fab3670-89a9-482b-a148-fdd292945ff5 · outbound

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Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.387176Z

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Observation 58371595-80df-4f6d-9f0f-ae4a9455f0ad · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.372053Z

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Observation cb2c2439-9ef5-4dfb-9537-a7a4841bb180 · outbound

This paper cites Lions and B.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Lions and B

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.356580Z

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Observation 5e0545c3-9605-4417-9b5b-4cf4901fdbe4 · outbound

This paper cites Fournais and S.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Fournais and S

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.667839Z

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Observation a86ef10c-87d9-4ff1-b8da-1abca836b915 · outbound

This paper cites Sharp semiclassical spectral asymptotics for Schr\"odinger operators with non-smooth potentials.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Sharp semiclassical spectral asymptotics for Schr\"odinger operators with non-smooth potentials

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:32:29.110818Z

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Observation 5ad2580b-aec9-447d-b605-ef285500d3f0 · outbound

This paper cites Fresta, M.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Fresta, M

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.637967Z

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Observation c7a7484c-75a0-4785-9ff7-6c214ad9c7f6 · outbound

This paper cites Potapov and F.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Potapov and F

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.311540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 054ba4a4-ad22-4840-b95f-88f130444b98 · outbound

This paper cites Golse, C.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Golse, C

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.607438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6af208d8-e75c-47cd-ac9c-bb542beadc14 · outbound

This paper cites Golse and T.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Golse and T

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.592908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0bdf1078-9f18-457a-9562-52add07c4f4c · outbound

This paper cites Gottschling and P.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Gottschling and P

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.577989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0893e00f-eacc-43ce-b44e-001c14368c71 · outbound

This paper cites Lemma 3.1.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Lemma 3.1

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.336040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f5564a1a-9ca6-4aca-bf3a-cab8ed0546c6 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.236121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5d73c8d8-3296-4a2e-9005-ae44b146e78a · outbound

This paper cites Remark 3.3.2.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Remark 3.3.2

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.320291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 163c4bca-8b3e-4d78-9f4c-6825826c6bcb · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.204370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2c4b9464-4155-42f4-9f59-b5f72a972672 · outbound

This paper cites Proposition 3.3 then follows forλ ≥ ℏ thanks to Lemma 3.1 and Lemma 3.2.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Proposition 3.3 then follows forλ ≥ ℏ thanks to Lemma 3.1 and Lemma 3.2

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.304602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 660ca786-4674-4e44-8903-3caa7e3be0c0 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.504318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 25b9a5be-2d6a-4201-83f0-2c170b7a16f5 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:30.287938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 32f4d09c-3afb-47fb-8ed1-c2fdc4f55ebb · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 65

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.402194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f669bac2-a592-42a4-9670-409b8632163d · outbound

This paper cites This yields ‖ Tzγ − γ ‖ 2 L2 ≤ C HS |z| ( ‖ γ ‖ 2 L∞ + 2 ‖ p γ ‖ 2 L∞ + ‖∇V γ ‖ 2 L∞ ).

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials This yields ‖ Tzγ − γ ‖ 2 L2 ≤ C HS |z| ( ‖ γ ‖ 2 L∞ + 2 ‖ p γ ‖ 2 L∞ + ‖∇V γ ‖ 2 L∞ )

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.255173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6b92e652-05f5-4285-ad3b-b6189cfc942b · outbound

This paper cites Marcantoni, M.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Marcantoni, M

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.341008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1fe9ec28-7771-4b72-981e-4b87e6001217 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.325767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f9db0b3a-a8e9-40d9-b7a7-97df43a47178 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 73

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.296342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c0e67c0c-8fa5-4a6d-93fc-0097f090ad41 · outbound

This paper cites Robert and B.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Robert and B

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:29.281792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 422fbd8c-50e2-402f-a2a7-38dbe6e9a6a4 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 75

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.266996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c00c14de-b296-4f23-ae6e-6ee43045eb94 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 76

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.251831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5e0b3801-0947-4ff9-816d-1a01369a9c32 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 77

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:30.205813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d01e09da-faf3-4ef1-94a8-cc0014517b8c · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 78

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.220010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6f0cd549-16df-4410-874a-eb5463da47af · outbound

This paper cites This proves Identity ( 84).

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials This proves Identity ( 84)

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.221814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 75279459-c941-4bf7-a11a-c6906a0db7c9 · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 81

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:29.188786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e9c44ee8-7172-4a93-abd6-fbbeb357201d · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 89

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:30.190203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7e5f8d3e-d3f6-427d-b554-8f637aa44216 · outbound

This paper cites □ Our ﬁrst step towards the proof of the L2 regularity is the following lemma, which is based on an application of the weighted Hilbert–Schmidt commutat or bound in Proposition 5.3.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials □ Our ﬁrst step towards the proof of the L2 regularity is the following lemma, which is based on an application of the weighted Hilbert–Schmidt commutat or bound in Proposition 5.3

Reference 91

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.157987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 106891db-01b8-4606-8b97-9a65a68b07de · outbound

This paper cites Next, a similar computation shows (97) ‖ ‖ ‖ [ |p|4,A ] ρ ‖ ‖ ‖ ≤ ‖ ‖ ‖ [ |p|2, [ p2,A ]] ρ ‖ ‖ ‖ + 2 ‖‖ ‖ [ |p|2,A ] |p|2 ρ ‖ ‖ ‖.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Next, a similar computation shows (97) ‖ ‖ ‖ [ |p|4,A ] ρ ‖ ‖ ‖ ≤ ‖ ‖ ‖ [ |p|2, [ p2,A ]] ρ ‖ ‖ ‖ + 2 ‖‖ ‖ [ |p|2,A ] |p|2 ρ ‖ ‖ ‖

Reference 93

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.142148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a1cb99c9-8d37-4a20-8fc0-2c17e4b1a54e · outbound

This paper cites As for the other inequality, ‖ ‖ ‖ [ p |p|4,A ] ρ ‖ ‖ ‖ ≤ ℏ ‖ ‖ ‖ [ |p|4, ∇A ] ρ ‖ ‖ ‖ + 2 ‖ ‖ ‖ [ |p|4,A ] p ρ ‖ ‖ ‖.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials As for the other inequality, ‖ ‖ ‖ [ p |p|4,A ] ρ ‖ ‖ ‖ ≤ ℏ ‖ ‖ ‖ [ |p|4, ∇A ] ρ ‖ ‖ ‖ + 2 ‖ ‖ ‖ [ |p|4,A ] p ρ ‖ ‖ ‖

Reference 94

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.109441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation abe00494-2860-4505-951a-552a966fb07f · outbound

This paper cites an unresolved cited work.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials Unresolved cited work

Reference 95

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:32:30.093321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4bf472f8-6db3-4a4d-87cf-a1d969e935f9 · outbound

This paper cites For the second term in ( 97), we use Inequality (96) with |p|2 ρ instead of ρ.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials For the second term in ( 97), we use Inequality (96) with |p|2 ρ instead of ρ

Reference 96

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.125423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6f01a581-e526-4e4c-8c1b-cdc54d337a9c · outbound

This paper cites quantitative bathtub principle.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials quantitative bathtub principle

Reference 103

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.031767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation be4755d2-4eac-4780-a51a-18f8ab35fe58 · outbound

This paper cites □ In order to connect our analysis back to the linear case we mak e the following observation.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials □ In order to connect our analysis back to the linear case we mak e the following observation

Reference 105

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.000047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 47d9dfef-1538-4c59-b159-c9201d35223c · outbound

This paper cites We ﬁnish the proof by takingρ = ρ ˜f ,g =f˜γ , putting together (.

Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials We ﬁnish the proof by takingρ = ρ ˜f ,g =f˜γ , putting together (

Reference 106

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:32:30.016282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation bb265d00-d10b-43a8-93ec-828a19158265 · inbound

The quantitative semi-classical limit of a large Fermi system at zero temperature cites this paper.

The quantitative semi-classical limit of a large Fermi system at zero temperature Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T12:28:12.885058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5eb8a7c-b9a9-4711-affc-fd5c9a8ea245 · inbound

Derivation of the time-dependent Hartree equations for strongly interacting dense fermionic systems cites this paper.

Derivation of the time-dependent Hartree equations for strongly interacting dense fermionic systems Commutator Estimates and Quantitative Local Weyl's Law for Schr\"odinger Operators with Non-Smooth Potentials

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:01:07.243553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.