Perturbative solution for the generalised anharmonic oscillators

DOI10.1088/0305-4470/17/3/016zbMath0529.65055OpenAlexW1971516054MaRDI QIDQ3311610

M. F. Marziani

Publication date: 1984

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/17/3/016

zbMATH Keywords

Hamiltoniananalytic continuationBorel methodepsilon algorithmRayleigh-Schrödinger perturbation expansiongeneralised anharmonic oscillatorsground state energy eigenvaluesummation of perturbation series

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (5)

Open perturbation and the Riccati equation: Algebraic determination of the quartic anharmonic oscillator energies and eigenfunctions ⋮ The influence of the boundedness of polynomial potentials on the spectrum of the Schrödinger equation ⋮ On the summation of some divergent hypergeometric series and related perturbation expansions ⋮ The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations ⋮ On the nature of energy levels of anharmonic oscillators

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