Solutions of the 2D Schrodinger equation and its thermal properties for Improved Ultra Generalized Exponential Hyperbolic potential (IUGE-HP)

In this research work, we investigate the 2D Schrodinger equation with improved ultra-generalized exponential-hyperbolic potential (IUGE-HP) is scrutinized taking into consideration the effects external magnetic and Aharanov-Bohm (AB) fields within the non-relativistic quantum mechanics regime. The...

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Bibliographic Details
Published in:arXiv.org 2021-04
Main Authors: Akpan Ndem Ikot, Collins, Okon Edet, Uduakobong Sunday Okorie, Abdel-Haleem Abdel-Aty, Ramantswana, M, Gaotsiwe, Joel Rampho, Alshehri, Nawal A, Elagan, S K, Kaya, Savas
Format: Article
Language:English
Subjects:
Asymptotic methods
Atomic physics
Condensed matter physics
Eigenvectors
Energy spectra
Iterative methods
Magnetic properties
Parameters
Quantum mechanics
Schrodinger equation
Thermodynamic properties
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Summary:In this research work, we investigate the 2D Schrodinger equation with improved ultra-generalized exponential-hyperbolic potential (IUGE-HP) is scrutinized taking into consideration the effects external magnetic and Aharanov-Bohm (AB) fields within the non-relativistic quantum mechanics regime. The Schrodinger equation in 2D for this consideration is solved using the asymptotic iteration method (AIM) and the energy equation and eigenfunction for the IUGE-HP in the presence of magnetic and AB fields are obtained in a compact form. The numerical energy spectra is analyzed and it is observed that the presence of the external fields eliminates degeneracy from the spectra and the different values of the control parameter causes shifts in the energy spectra. The thermal and magnetic properties of the IUGE-HP in the presence of this external fields are duly investigated. The variations of the thermal and magnetic properties with control parameter are analyzed for negative and positive. The present research finds applications in condensed matter, molecular and atomic physics respectively.
ISSN:2331-8422