Approximate Solutions of the Schrodinger Equation for the Rosen-Morse Potential Including Centrifugal Term

Taskin F.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.48, no.9, pp.2692-2697, 2009 (SCI-Expanded) identifier identifier

Abstract

Analytical solutions of the Schrodinger equation for the Rosen-Morse potential are presented for arbitrary orbital angular momentum quantum number by using an approximation for the centrifugal term. The energy eigenvalues and the corresponding wavefunctions are approximately obtained. Three special cases the s-wave, the Eckart potential and the PT-symmetric Rosen-Morse potential are also investigated.

Analytical solutions of the Schrodinger equation for the Rosen-Morse potential are presented for arbitrary orbital angular momentum quantum number by using an approximation for the centrifugal term. The energy eigenvalues and the corresponding wavefunctions are approximately obtained. Three special cases the s-wave, the Eckart potential and the PT-symmetric Rosen-Morse potential are also investigated.