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

Autor: Collins Okon Edet, Salman Mahmoud, Etido P. Inyang, Norshamsuri Ali, Syed Alwee Aljunid, Rosdisham Endut, Akpan Ndem Ikot, Muhammad Asjad
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 15, p 2824 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10152824
Popis: 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.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje