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In the Segal–Bargmann space, parity acts asz7→ −z,∂ z 7→ −∂z

Symmetry Constraints in Holomorphic V ariational Calculations For Hamiltonians with even parity ([ ˆH, ˆP] = 0 where ˆP x ˆP −1 =−x), the ground state has definite parity

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Rayleigh-Ritz Variational Method in The Complex Plane

quant-ph · 2026-02-27 · unverdicted · novelty 6.0

Rayleigh-Ritz calculations in Segal-Bargmann space recover the exact harmonic-oscillator ground state and yield perturbative energy expansions for the quartic anharmonic oscillator via adaptive Gaussian trial functions.

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  • Rayleigh-Ritz Variational Method in The Complex Plane quant-ph · 2026-02-27 · unverdicted · none · ref 17

    Rayleigh-Ritz calculations in Segal-Bargmann space recover the exact harmonic-oscillator ground state and yield perturbative energy expansions for the quartic anharmonic oscillator via adaptive Gaussian trial functions.