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arXiv:quant-ph/0703034

Exact Solutions of Schrodinger Equation for a Ring-Shaped Potential

Özlem Yeşiltaş, R. Sever

Published Mar 5, 2007• 0 citations
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Abstract

The exact solutions of Schrodinger equation are obtained for a noncentral potential which is a ring-shaped potential. The energy eigenvalues and corresponding eigenfunctions are obtained for any angular momentum l. Nikiforov-Uvarov method is used in the computations.
DOI
10.48550/arxiv.quant-ph/0703034

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The general solutions of the Schrödinger equation for a non-central potential are obtained by using the Nikiforov–Uvarov method. The Schrödinger equation with general non-central potential is separated into radial and angular parts, and energy eigenvalues and eigenfunctions are derived analytically. By making special selections, the non-central potential is reduced to Coulomb and Hartmann ring-shaped potentials, and the obtained results are compared with the solutions of Coulomb and Hartmann potentials given in the literature.