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Exact solutions of the Schrödinger equation with non-central potential by the Nikiforov-Uvarov method. (English) Zbl 1073.81035
Summary: 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.
MSC:
81Q05Closed and approximate solutions to quantum-mechanical equations
81U15Exactly and quasi-solvable systems (quantum theory)