ABSTRACT

The bound state analytical solutions of the radial Schrödinger equation have been obtained with a newly proposed potential called Generalized Morse Potential (GMP).

This potential was suggested by Den and Fan(1957), where he described a diatomic molecule energy spectra and electromagnetic transitions.

The energy eigenvalue and the corresponding wave function are calculated in a closed and compact form using the Nikiforov-Uvarov method. The energy equation for the GMP have also been obtained by varying some potential parameters. Some numerical results have been computed.