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

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 Egrifes et al. (Physica Scripta 59:90-94, 1999; Physica Scripta 60:195-198, 1999). © 2009 Springer Science+Business Media, LLC.