Exact solutions of the Schrödinger equation for a class of three-dimensional isotropic anharmonic oscillators

DOI10.1063/1.526048zbMath0557.35026OpenAlexW2065962878MaRDI QIDQ3222561

Peter G. L. Leach

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526048

zbMATH Keywords

Schrödinger equationexact solutionspotentialsisotropic anharmonic oscillators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items

Exact energy eigenvalues for the doubly anharmonic oscillator, Exact solutions of the Schrödinger equation for nonseparable anharmonic oscillator potentials in two dimensions, A Rodrigues formula approach to determining closed-form solutions to the Schrödinger equation for symmetric anharmonic oscillators, One-dimensional quasi-exactly solvable Schrödinger equations, Exact solutions for nonpolynomial potentials in N-space dimensions using a factorization method and supersymmetry, On the summation of the Birkhoff–Gustavson normal form of an anharmonic oscillator, Classes of potentials of time-dependent central force fields which possess first integrals quadratic in the momenta

Cites Work

• Extended continued fractions and energies of the anharmonic oscillators
• Enumeration of Potentials for Which One-Particle Schroedinger Equations Are Separable