Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni–Shukla Potential Using the Asymptotic Iteration Method

Collins Okon Edet (), Salman Mahmoud, Etido P. Inyang, Norshamsuri Ali (), Syed Alwee Aljunid, Rosdisham Endut, Akpan Ndem Ikot and Muhammad Asjad
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Collins Okon Edet: Faculty of Applied and Human Sciences, Universiti Malaysia Perlis, Kangar 01000, Malaysia
Salman Mahmoud: Platform for Research and Analysis in Environmental Sciences (PRASE), Lebanese University, Beirut 1102, Lebanon
Etido P. Inyang: Department of Physics, National Open University of Nigeria, Jabi-Abuja PMB 581, Nigeria
Norshamsuri Ali: Faculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, Malaysia
Syed Alwee Aljunid: Faculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, Malaysia
Rosdisham Endut: Faculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, Malaysia
Akpan Ndem Ikot: Theoretical Physics Group, Department of Physics, University of Port Harcourt, East/West Road, Choba PMB 5323, Nigeria
Muhammad Asjad: Department of Mathematics, Khalifa University, Abu Dhabi 127788, United Arab Emirates

Mathematics, 2022, vol. 10, issue 15, 1-10

Abstract: The nonrelativistic treatment of the Varshni–Shukla potential (V–SP) in the presence of magnetic and Aharanov–Bohm fields is carried out using the asymptotic iteration method (AIM). The energy equation and wave function are derived analytically. The energy levels are summed to obtain the partition function, which is employed to derive the expressions for the thermomagnetic properties of the V–SP. These properties are analyzed extensively using graphical representations. It is observed that in the various settings of the analysis, the system shows a diamagnetic characteristic, and the specific heat capacity behavior agrees with the recognized Dulong–Petit law, although some slight anomaly is observed. This irregular behavior could be attributed to a Schottky anomaly. Our findings will be valuable in a variety of fields of physics, including chemical, molecular and condensed matter physics, where our derived models could be applied to study other diatomic molecules and quantum dots, respectively.

Keywords: Schrödinger equation; Varshni–Shukla potential; magnetic field; Aharanov–Bohm field; topological defect (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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