Eigensolutions and Thermodynamic Properties of Kratzer Plus Generalized Morse Potential

• DOI: 10.3389/fphy.2022.962717
• Publication Date: 2022-07-22T10:07:43Z
• Authors: Cecilia N. Isonguyo; Ituen B. Okon; Akaninyene D. Antia; Kayode J. Oyewumi; Ekwevugbe Omugbe; Clement A. Onate; Roseline U. Joshua; Monday E. Udoh; Eno E. Ituen; Judith P. Araujo
• Keywords: thermodynamic properties; nikiforov-uvarov method; kratzer plus generalised morse potential; Physics; QC1-999; 0103 physical sciences; diatomic molecules; 01 natural sciences; schrodinger wave equation

In this study, we apply the parametric Nikiforov-Uvarov method to obtain the bound state solution of Schrödinger wave equation in the presence of Kratzer plus generalized Morse potential (KPGM). The energy eigen equation and the corresponding normalised wave function were obtained in closed form. The resulting energy eigen equation was used to study partition function and other thermodynamic properties such as vibrational mean energy, vibrational specific heat capacity, vibrational mean free energy and vibrational entropy for the proposed potential as applied to lithium hydride diatomic molecule. The thermodynamic plots obtained were in excellent agreement to work of existing literatures. The wave function and probability density plots for the diatomic molecules were obtained through a well designed and implemented maple programme.