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

TL;DR

This paper solves the 2D Schrödinger equation with an improved exponential-hyperbolic potential under magnetic and Aharonov-Bohm fields, analyzing energy spectra and thermal properties, revealing field-induced degeneracy removal and parameter-dependent shifts.

Contribution

It introduces an exact solution for the 2D Schrödinger equation with IUGE-HP considering external fields, and explores the resulting spectral and thermal property modifications.

Findings

External magnetic and AB fields remove spectral degeneracy.

Control parameters cause shifts in energy spectra.

Thermal and magnetic properties vary with external fields and parameters.

Abstract

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.