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

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 f...

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Bibliographic Details
Published in:Mathematics (Basel) 2022-08, Vol.10 (15), p.2824
Main Authors: Edet, Collins Okon, Mahmoud, Salman, Inyang, Etido P., Ali, Norshamsuri, Aljunid, Syed Alwee, Endut, Rosdisham, Ikot, Akpan Ndem, Asjad, Muhammad
Format: Article
Language:English
Subjects:
Aharanov–Bohm field
Approximation
Asymptotic methods
Asymptotic properties
Condensed matter physics
Defects
Diamagnetism
Diatomic molecules
Eigenvalues
Energy
Energy levels
Graphical representations
Investigations
Iterative methods
magnetic field
Magnetic fields
Partitions (mathematics)
Physical properties
Physics
Quantum dots
Schrödinger equation
Spacetime
Spectrum analysis
topological defect
Varshni–Shukla potential
Wave functions
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10152824