A RECURSION TECHNIQUE FOR DERIVING RENORMALIZED PERTURBATION EXPANSIONS FOR ONE-DIMENSIONAL ANHARMONIC OSCILLATOR

DOI10.1142/S0217751X0100372XzbMath0984.81039arXivquant-ph/0108142OpenAlexW2018059206MaRDI QIDQ2730937

R. S. Tutik, I. V. Dobrovolska

Publication date: 14 May 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0108142

zbMATH Keywords

quantization conditions\(\hbar\)-expansionssextic anharmonic oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

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Cites Work

• On a rapidly converging perturbation theory for a discrete spectrum
• An improved shooting method for one-dimensional Schrödinger equation
• Scaling property of variational perturbation expansion for a general anharmonic oscillator with \(x^p\)-potential
• Riccati equations and perturbation expansions in quantum mechanics
• Method of self-similar approximations
• The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation
• Exact semiclassical expansions for one-dimensional quantum oscillators