Onyenegecha CP, El Anouz K, Opara AI, Njoku IJ, Okereke CJ, El Allati A. Nonrelativistic treatment of inversely quadratic Hellmann-Kratzer potential and thermodynamic properties.
Heliyon 2021;
7:e08617. [PMID:
34988316 PMCID:
PMC8695294 DOI:
10.1016/j.heliyon.2021.e08617]
[Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/25/2021] [Revised: 11/08/2021] [Accepted: 12/14/2021] [Indexed: 11/24/2022] Open
Abstract
The study presents approximate analytical solutions of the Schrödinger equation with a newly proposed potential model called Inversely Quadratic Hellmann-Kratzer potential (IQHKP). This potential is a superposition of Inversely Quadratic Hellman potential and Kratzer potential. The energy eigenvalues and corresponding wavefunction are calculated via the formula method. We applied our results to evaluate thermodynamic functions such as vibrational free energy, F, vibrational internal energy, U, vibrational entropy, S, and vibrational specific heat, C. We also reported special cases of importance.
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