Nonrelativistic treatment of inversely quadratic Hellmann-Kratzer potential and thermodynamic properties

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 eigenvalue...

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Detalles Bibliográficos
Autores principales: Onyenegecha, C.P., El Anouz, Khadija, Opara, A.I., Njoku, I.J., Okereke, C.J., El Allati, A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8695294/
https://www.ncbi.nlm.nih.gov/pubmed/34988316
http://dx.doi.org/10.1016/j.heliyon.2021.e08617
Descripción
Sumario: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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