Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. I. Generalities, cubic anharmonicity case

DOI10.1142/S0217751X19501434zbMath1471.81019arXiv1908.03799OpenAlexW2967527737WikidataQ127281868 ScholiaQ127281868MaRDI QIDQ5010191

J. C. del Valle, Alexander~V. Turbiner

Publication date: 24 August 2021

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.03799

zbMATH Keywords

perturbation theorysemiclassical approximationvariational methodanharmonic oscillator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Variational methods applied to PDEs (35A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) Forced motions in linear vibration theory (70J35) Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (1)

Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. II. Quartic and sextic anharmonicity cases

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