https://doi.org/10.1140/epjd/s10053-023-00718-1
Regular Article – Quantum Information
Information-theoretic measures and thermodynamic properties under magnetic and Aharonov–Bohm flux fields
1
Department of Physics, University of Agriculture and Environmental Sciences, P.M.B. 1038, Umuagwo, Imo State, Nigeria
2
Department of Physics, Federal University of Petroleum Resources, Effurun, Delta State, Nigeria
3
Department of Physics, Federal University of Technology Owerri, P.M.B.1526, Ihiagwa, Owerri, Imo State, Nigeria
4
Department of Physics and Engineering Sciences, Buein Zahra Technical University, Buin Zahra, Iran
5
Department of Physics, Cross River University of Technology, Calabar, Nigeria
6
Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
7
Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria
8
Department of Physics, Kogi State University, Anyigba, Kogi State, Nigeria
9
Department of Physics, College of Science, Sultan Qaboos University, Muscat, Sultanate of Oman
10
Department of Physics, Federal University of Technology, Ikot Abasi, Nigeria
11
Theoretical Physics Group, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
Received:
12
December
2022
Accepted:
24
June
2023
Published online:
21
July
2023
We investigated the effects of external magnetic and Aharonov–Bohm flux fields on the thermodynamic properties, Fisher, Shannon and Rényi information-theoretic measures using the non-relativistic Schrödinger equation with a Varshni-type potential. We adopted the parametric Nikiforov–Uvarov approach to obtain the analytical bound states in closed form. The thermodynamic functions such as the free energy, specific heat capacity, vibrational entropy and mean energy were analyzed. Also, the results for the 2D Fisher's information-theoretic measure obey the inequality 
. The Rényi entropies sum applied to lithium hydride (LiH) diatomic molecule obeys the inequality 
+
4.19926 for 2D system. Also, the global Shannon entropies sum inequality for the LiH molecule is verified. The applications of the external fields were found to strongly influence the splitting of the energy overlaps, the thermodynamic functions and the information-theoretic measures. The results may aid the understanding of the dynamics of quantum particles and molecules in external fields.
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