Journals / Turkish Journal of Physics / 2015 / Cilt: 39 - Sayı: 1

Schrödinger equation with modified Smorodinsky-Winternitz potential

Pages
37–42
DOI
—

Abstract

We present solutions of the Schrödinger equation for the modified Smorodinsky-Winternitz potential in an exact analytical manner. The considered potential is of noncentral nature and includes the Pöschl-Teller potential in the radial as the radial term and includes both azimuthal and polar angle-dependent terms. The problem, after separation of variables, is solved via the Nikiforov-Uvarov method and the solutions are reported.

Özet

We present solutions of the Schrödinger equation for the modified Smorodinsky-Winternitz potential in an exact analytical manner. The considered potential is of noncentral nature and includes the Pöschl-Teller potential in the radial as the radial term and includes both azimuthal and polar angle-dependent terms. The problem, after separation of variables, is solved via the Nikiforov-Uvarov method and the solutions are reported.

Keywords: Schrödinger equation, Nikiforov-Uvarov method, SW potential