Solution of the Schrödinger equation for two q-deformed potentials by the SWKB method

摘要

In this study, the supersymmetric Wentzel-Kramers-Brillouin (SWKB) approximation method has been discussed in detail. The entire bound state energy eigenvalues and the ground state wave function of the q-deformed potentials such as Pöschl-Teller and Rosen-Morse potentials have been obtained by SWKB approximation. We have shown that our results are in complete agreement with the results obtained by Eğrifes et al. (Physica Scripta 59:90–94, 1999; Physica Scripta 60:195–198, 1999). Keywords Supersymmetric quantum mechanics - The lowest order SWKB quantization condition - q-deformed potentials