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

A. N. Ikot; B. C. Lutfuoglu; M. I. Ngwueke; M. E. Udoh; S. Zare; H. Hassanabadi

doi:10.1140/epjp/i2016-16419-5

EPJ

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

A. N. Ikot¹^*, B. C. Lutfuoglu², M. I. Ngwueke¹, M. E. Udoh¹, S. Zare³ and H. Hassanabadi⁴

¹ Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, P.M.B 5323, Port Harcourt, Nigeria
² Department of Physics, Akdentz University, 07058, Antalya, Turkey
³ Department of Basic Sciences, Islamic Azad University, North Tehran Branch, Tehran, Iran
⁴ Department of Physics, Shahrood University of technology, Shahrood, Iran

Received: 25 October 2016
Accepted: 10 November 2016
Published online: 6 December 2016

Abstract

In this paper we use the Nikiforov-Uvarov method to obtain the approximate solutions for the Klein-Gordon equation with the deformed five-parameter exponential-type potential (DFPEP) model. We also obtain solutions for the Schrödinger equation in the presence of DFPEP in non-relativistic limits. In addition, we calculate in the non-relativistic limits 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.

International Conference "Dynamics of Systems on the Nanoscale" (DySoN 2020)
23-27 November 2022
Santa Margherita Ligure, Italy

EPJ

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

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