Asymptotic series for the quantum quartic anharmonic oscillator

DOI10.1007/BF01164665zbMath0873.65079OpenAlexW2061188836MaRDI QIDQ1360675

N. Aquino

Publication date: 16 October 1997

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01164665

zbMATH Keywords

convergenceeigenvalueseigenfunctionsSchrödinger equationWKB methodwave functionquartic anharmonic oscillator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

Application of the asymptotic Taylor expansion method to bistable potentials ⋮ Exact solutions of a quartic potential ⋮ On the nature of energy levels of anharmonic oscillators

Cites Work

• On the μx²+ λx⁴interaction

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