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

• Published in: Heliyon Vol. 8; no. 2; p. e08952
• Main Authors: Onyenegecha, C.P., Njoku, I.J., Opara, A.I., Echendu, O.K., Omoko, E.N., Eze, F.C., Okereke, C.J., Onyeocha, E., Nwaneho, F.U.
• Format: Journal Article
• Language: English
• Published: England Elsevier Ltd 01-02-2022; Elsevier
• Subjects: Formula method; Modified Mobius square plus Eckart potential; Schrödinger equation; Thermodynamic properties; Formula method; Thermodynamic properties; Modified Mobius square plus Eckart potential; Schrödinger equation
• ISSN: 2405-8440; 2405-8440
• DOI: 10.1016/j.heliyon.2022.e08952

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