Thermodynamic properties and approximate solutions of the l-state Poschl–Teller-type potential

Abstract EN

In this study, the solutions of the ‘-state Po ̈schl–Teller-type potential for the Schro ̈dinger and Klein-Gordon equations are obtained using the parametric Nikiforov–Uvarov method.

Solving the Schro ̈dinger and Klein–Gordon wave equations, the energy eigenvalues and wave func-tions are obtained.

For the case ‘ 1⁄4 0, we made comparison with previous results where the solu- tions of Schro ̈dinger equation for the Po ̈schl–Teller-type potential were obtained for s-wave (‘ 1⁄4 0) state.

We also obtain the thermodynamic properties such as vibrational mean energy, vibrational specific heat, vibrational mean free energy and vibrational entropy for the Po ̈schl Teller-type poten-tial in the classical limit.