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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2022-08-01
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| author | Collins Okon Edet Salman Mahmoud Etido P. Inyang Norshamsuri Ali Syed Alwee Aljunid Rosdisham Endut Akpan Ndem Ikot Muhammad Asjad |
| author_facet | Collins Okon Edet Salman Mahmoud Etido P. Inyang Norshamsuri Ali Syed Alwee Aljunid Rosdisham Endut Akpan Ndem Ikot Muhammad Asjad |
| author_sort | Collins Okon Edet |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T05:11:46Z |
| format | Article |
| id | doaj.art-31624cd64fc24420a993c0ff0d4909c4 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T05:11:46Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-31624cd64fc24420a993c0ff0d4909c42023-12-03T12:48:50ZengMDPI AGMathematics2227-73902022-08-011015282410.3390/math10152824Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni–Shukla Potential Using the Asymptotic Iteration MethodCollins Okon Edet0Salman Mahmoud1Etido P. Inyang2Norshamsuri Ali3Syed Alwee Aljunid4Rosdisham Endut5Akpan Ndem Ikot6Muhammad Asjad7Faculty of Applied and Human Sciences, Universiti Malaysia Perlis, Kangar 01000, MalaysiaPlatform for Research and Analysis in Environmental Sciences (PRASE), Lebanese University, Beirut 1102, LebanonDepartment of Physics, National Open University of Nigeria, Jabi-Abuja PMB 581, NigeriaFaculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, MalaysiaFaculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, MalaysiaFaculty of Electronic Engineering Technology, Universiti Malaysia Perlis, Kangar 01000, MalaysiaTheoretical Physics Group, Department of Physics, University of Port Harcourt, East/West Road, Choba PMB 5323, NigeriaDepartment of Mathematics, Khalifa University, Abu Dhabi 127788, United Arab EmiratesThe 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.https://www.mdpi.com/2227-7390/10/15/2824Schrödinger equationVarshni–Shukla potentialmagnetic fieldAharanov–Bohm fieldtopological defect |
| spellingShingle | Collins Okon Edet Salman Mahmoud Etido P. Inyang Norshamsuri Ali Syed Alwee Aljunid Rosdisham Endut Akpan Ndem Ikot Muhammad Asjad Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni–Shukla Potential Using the Asymptotic Iteration Method Mathematics Schrödinger equation Varshni–Shukla potential magnetic field Aharanov–Bohm field topological defect |
| title | Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni–Shukla Potential Using the Asymptotic Iteration Method |
| title_full | Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni–Shukla Potential Using the Asymptotic Iteration Method |
| title_fullStr | Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni–Shukla Potential Using the Asymptotic Iteration Method |
| title_full_unstemmed | Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni–Shukla Potential Using the Asymptotic Iteration Method |
| title_short | Non-Relativistic Treatment of the 2D Electron System Interacting via Varshni–Shukla Potential Using the Asymptotic Iteration Method |
| title_sort | non relativistic treatment of the 2d electron system interacting via varshni shukla potential using the asymptotic iteration method |
| topic | Schrödinger equation Varshni–Shukla potential magnetic field Aharanov–Bohm field topological defect |
| url | https://www.mdpi.com/2227-7390/10/15/2824 |
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