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

Abstract

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.

29 pages, 14 figures, 1 table

References in corpus (7)

• Supersymmetry and Quantum Mechanics
• Black Holes in Higher Dimensions
• A General Approach for the Exact Solution of the Schrodinger Equation
• Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
• Relativistic Harmonic Oscillator with Spin Symmetry
• Approximate Analytical Solutions to Relativistic and Nonrelativistic Pöschl-Teller Potential with its Thermodynamic Properties
• Exact Solutions of the Klein-Gordon Equation with Hylleraas Potential

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