Strong coupling perturbation expansions for anharmonic oscillators. Numerical results

DOI10.1088/0305-4470/32/30/314zbMath0976.81007OpenAlexW2002386094MaRDI QIDQ4947708

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Publication date: 25 April 2000

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

Full work available at URL: https://semanticscholar.org/paper/a2ddd1b9276f51babc038ecd8995c4e9448bdfa2

zbMATH Keywords

anharmonic oscillatorsRayleigh-Schrödinger perturbation series

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Perturbation theories for operators and differential equations in quantum theory (81Q15) Numerical summation of series (65B10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (6)

Transformation of the asymptotic perturbation expansion for the anharmonic oscillator into a convergent expansion ⋮ Entire hypergeometric approximants for the ground state energy perturbation series of the quartic, sextic and octic anharmonic oscillators ⋮ High-order parametrization of the hypergeometric-Meijer approximants ⋮ Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems ⋮ Perturbed Pöschl-Teller oscillators ⋮ Convergent Rayleigh-Schrödinger perturbation expansions for low-lying eigenstates and eigenenergies of anharmonic oscillators in intermediate basis states

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