Nonrelativistic treatment of inversely quadratic Hellmann-Kratzer potential and thermodynamic properties
C.P. Onyenegecha,
Khadija El Anouz,
A.I. Opara,
I.J. Njoku,
C.J. Okereke,
A. El Allati
Affiliations
C.P. Onyenegecha
School of Physical Sciences, Federal University of Technology Owerri, Nigeria; Africa Center of Excellence in Future Energies and Electrochemical Systems (ACE-FUELS), Federal University of Technology Owerri, Nigeria; Corresponding author.
Khadija El Anouz
Laboratory of R & D in Engineering Sciences, Faculty of Sciences and Techniques Al- Hoceima, Abdelmalek, Essaadi University, T'etouan, Morocco
A.I. Opara
School of Physical Sciences, Federal University of Technology Owerri, Nigeria; Africa Center of Excellence in Future Energies and Electrochemical Systems (ACE-FUELS), Federal University of Technology Owerri, Nigeria
I.J. Njoku
School of Physical Sciences, Federal University of Technology Owerri, Nigeria
C.J. Okereke
School of Physical Sciences, Federal University of Technology Owerri, Nigeria
A. El Allati
Laboratory of R & D in Engineering Sciences, Faculty of Sciences and Techniques Al- Hoceima, Abdelmalek, Essaadi University, T'etouan, Morocco; The Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy
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.
