Nonrelativistic solutions of Schrödinger equation and thermodynamic properties with the proposed modified Mobius square plus Eckart potential

C P Onyenegecha; I J Njoku; A I Opara; O K Echendu; E N Omoko; F C Eze; C J Okereke; E Onyeocha; F U Nwaneho

doi:10.1016/j.heliyon.2022.e08952

Nonrelativistic solutions of Schrödinger equation and thermodynamic properties with the proposed modified Mobius square plus Eckart potential

Heliyon. 2022 Feb 15;8(2):e08952. doi: 10.1016/j.heliyon.2022.e08952. eCollection 2022 Feb.

Authors

C P Onyenegecha^{1

2}, I J Njoku¹, A I Opara^{1

2}, O K Echendu^{1

2}, E N Omoko¹, F C Eze¹, C J Okereke¹, E Onyeocha¹, F U Nwaneho¹

Affiliations

¹ School of Physical Sciences, Federal University of Technology, Owerri, Nigeria.
² Africa Center of Excellence in Future Energies and Electrochemical Systems (ACE-FUELS), Federal University of Technology, Owerri, Nigeria.

Abstract

We obtain solutions of Schrödinger equation for the modified Mobius square plus Eckart (MMPSE) potential via the formula method. Numerical results are reported. In addition, the partition function Z and other thermodynamic properties such as vibrational free energy, F, vibrational internal energy, U, vibrational entropy, S, and vibrational specific heat, C are presented. We also discuss special cases of this potential. Our result is consistent with previous studies in the literature.

Keywords: Formula method; Modified Mobius square plus Eckart potential; Schrödinger equation; Thermodynamic properties.