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Nigerian Journal of Theoretical and Environmental Physics

Thermo-Magnetic properties of Two-Dimensional Non-Relativistic Schrödinger Equation for the Attractive Radial Potential under External Magnetic and Aharonov-Bohm Flux Fields

M. H. Imrana, Adamu Z. Ngari, Peter Teru, A. M. Gyobe, Ndom B. Ndom, Jibrin Alhaji Yabagi, Ndanusa Babakatcha

Published Dec 31, 2025• 0 citations
Publisher

Abstract

We investigate the thermo-magnetic properties of the Attractive Radial Potential (ARP) for a particle moving in two-dimensional non-relativistic Schrödinger equation subjected to an external magnetic field and Aharonov-Bohm (AB) flux. Analytical solution for the energy eigenvalues and wavefunctions were obtained in a closed form via the Nikiforov-Uvarov Functional Analysis (NUFA) method. We derived the partition function by analyzing the system as a canonical ensemble to obtain the expressions for the thermodynamic quantities which include the free energy, entropy, specific heat capacity and internal energy. Our results show a decrease in the energy spectrum when the AB flux and magnetic fields are increased. At low temperatures, specific heat capacity shows a peak anomaly, while Helmholtz free energy and entropy exhibit temperature dependence. We also observed that AB flux and magnetic field influence both magnetization and magnetic susceptibility and exhibit both paramagnetic and diamagnetic behavior. The findings provide valuable insights into in molecular physics applications.

DOI
10.62292/njtep.v3i4.2025.102

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