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Solving pertur- batively withδ=a 1λ+a 2λ2 +· · ·: •O(λ):a 1 = 3 2, •O(λ 2):a 2 =− 81 16

Perturbative Energy Expansion for Quartic Oscillator Substitutingα= 1 +δwithδ=O(λ) intoE(α) = α 4 + 1 4α + 3λ 4α2 : E= 1 2 + δ2 2 + 3λ 4 − 3λδ 2 +O(λ 3, δ3)

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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 14

    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.