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Physica Scripta

On the Solutions of the Schrödinger Equation with some Anharmonic Potentials: Wave Function Ansatz

Shi‐Hai Dong

Published Jan 1, 2002• 56 citations
Publisher

Abstract

By applying an ansatz to the wave function, the solutions of the D -dimensional radial Schrödinger equation with some anharmonic potentials are obtained. The restriction on the parameters of the given potential and η are also presented, where η depends on a linear combination of the angular momentum quantum number ℓ and the spatial dimensions D .

DOI
10.1238/physica.regular.065a00289

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By applying an ansatz to the wave function, the solutions of the D -dimensional radial Schrödinger equation with some anharmonic potentials are obtained. The restriction on the parameters of the given potential and η are also presented, where η depends on a linear combination of the angular momentum quantum number ℓ and the spatial dimensions D .
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Relation between Dimension and Angular Momentum for Radially Symmetric Potential in NNN-dimensional Space