https://doi.org/10.1140/epjd/s10053-022-00533-0
Regular Article – Atomic Physics
Thermal properties of 2D Schrödinger equation with new Morse interacting potential
1
Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria
2
Department of Physics, Akwa Ibom State University, P.M.B. 1167, Uyo, Ikot Akpaden, Nigeria
3
Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
4
National Mathematical Centre, Abuja, Nigeria
5
Department of Theoretical Physics, Baku State University, Z. Khalilov St. 23, AZ1148, Baku, Azerbaijan
6
Physics Education Department, Faculty of Education, Tishk International University, 44001, Erbil, Kurdistan Region, Iraq
7
Department of Physics, College of Education, Salahadin University-Erbil, 44001, Erbil, Kurdistan Region, Iraq
8
Department of Physics, Kogi State University, Anyigba, Nigeria
Received:
15
June
2022
Accepted:
17
October
2022
Published online:
5
November
2022
In this article, we carried out a comprehensive study of the analytical solutions of the 2D Schrödinger equation for a new Morse interacting potential. Using Nikiforov–Uvarov method, the energy eigenvalues and corresponding radial wave functions are obtained analytically. The thermodynamic and thermomagnetic properties of the system for the new Morse potential such as the partition function of the system, Helmholtz free energy, mean energy, entropy, specific heat capacity, magnetization, magnetic susceptibility, vibrational mean energy, and persistent current are analyzed in a closed form. Also, the numerical bound state solution for the new Morse interacting potential under the influence of AB and magnetic field for fixed magnetic quantum number but with varying principal quantum number for screening parameter is studied. It is shown that the temperature and the maximum quantum number effects play an importance role for the investigation of thermodynamic and thermomagnetic properties of the quantum system.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
