Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

TL;DR

This paper derives energy states for a charged particle with position-dependent mass in a combined Hulthen and Coulomb-like potential under magnetic and AB flux fields, providing numerical results and wave functions.

Contribution

It introduces a solution to the PDM Schrödinger equation with complex potentials and external fields, focusing on bound states and wave functions.

Findings

Calculated bound state energies and wave functions.

Numerical plots illustrating energy variations.

Analysis of the effects of external magnetic and flux fields.

Abstract

We need to solve a suitable exponential form of the position-dependent mass (PDM) Schr\"odinger equation with a charged particle placed in the Hulthen plus Coulomb-like potential field and under the influence of the external magnetic and Aharonov-Bohm (AB) flux fields. The bound state energies and their corresponding wave functions are calculated for spatially-dependent mass distribution function of a physical interest. A few plots of some numerical results to the energy are shown.