A New Type of Shape-Invariant Potential

In this paper we use the Nikiforv-Uvarov method to obtain the approximate solutions of the Klein-Gordon equation with deformed five parameter exponential type potential (DFPEP) model. We also obtain the solutions of the Schrödinger equation in the presence of the DFPEP in the non-relativistic limits. In addition, we calculate in the nonrelativistic limits the thermodynamics properties such as vibrational mean energy U,free energy F and the specific heat capacity C . Special cases of the potential are also discussed.

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A New Type of Shape-Invariant Potential

Cited by 3 publications

References 8 publications

Classes of exact Klein–Gordon equations with spatially dependent masses: Regularizing the one-dimensional inversely linear potential

Classes of exact Klein–Gordon equations with spatially dependent masses: Regularizing the one-dimensional inversely linear potential

Shape invariance and the supersymmetry WKB approximation for a diatomic molecule potential

Klein-Gordon equation particles in exponential-type molecule potentials and their thermodynamic properties in D dimensions

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