Exact solutions of the Schrödinger equation for nonseparable anharmonic oscillator potentials in two dimensions

DOI10.1063/1.528285zbMath0694.35149OpenAlexW2061391443MaRDI QIDQ3469573

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Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528285

zbMATH Keywords

exact closed-form solutionsanharmonic oscillatortime-independent Schrödinger equation

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

On the elementary Schrödinger bound states and their multiplets ⋮ Exact solutions of the Schrödinger equation for an anharmonic potential in two dimensions ⋮ Closed-form solutions of the Schrödinger equation for a coupled harmonic potential in three dimensions ⋮ Exact and approximate solutions of the spectral problems for the differential Schrödinger operator with polynomial potential in \(\mathbb{R} ^K\), \(K \geq 2\) ⋮ Lower bounds for quartic anharmonic and double-well potentials

Cites Work

• Exact solutions of the Schrödinger equation for a class of three-dimensional isotropic anharmonic oscillators
• A class of exact solutions for anharmonically coupled oscillators

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