Energy levels of two-dimensional anharmonic oscillators with sextic and octic perturbations

DOI10.1063/1.529818zbMath0767.35074OpenAlexW2066475318MaRDI QIDQ4697244

M. R. M. Witwit

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1063/1.529818

zbMATH Keywords

Schrödinger equationenergy eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (3)

Energy levels of double-well potentials in a three-dimensional system ⋮ Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. II. Quartic and sextic anharmonicity cases ⋮ Perturbation theory by the moment method and point-group symmetry

Cites Work

• The eigenvalues of the Schrodinger equation for spherically symmetric states for various types of potentials in two, three and N dimensions, by using perturbative and non-perturbative methods
• Finite difference calculations of eigenvalues for various potentials
• Energy levels of a two-dimensional anharmonic oscillator: Characteristic function approach

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