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Using⟨x⟩= √ 2αand Wick’s theorem for Gaussian 6 states, the fourth moment is⟨x 4⟩= 4α 4 + 6α2 + 3

Complex Plane Solution In the Segal–Bargmann space, the Hamiltonian for the quartic anharmonic oscillator (in unitsℏ=m=ω= 1) is ˆH=z d dz + 1 2 +λ z+∂ z√ 2 4

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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 4

    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.