Approximate energy states and thermal properties of a particle with position-dependent mass in external magnetic fields

TL;DR

This paper analytically investigates the energy states and thermal properties of a particle with position-dependent mass under magnetic and flux fields, providing explicit solutions and thermodynamic analysis.

Contribution

It introduces exact solutions for a PDM particle in combined Morse and Coulomb potentials with external fields, including thermodynamic properties using Gibbs formalism.

Findings

Energy levels depend on magnetic and flux parameters.

Thermodynamic quantities vary with temperature and mass density.

Plots illustrate the influence of physical parameters on system behavior.

Abstract

We solve the Schr\"odinger equation with a position-dependent mass (PDM) charged particle interacted via the superposition of the Morse and Coulomb potentials and exposed to external magnetic and Aharonov-Bohm (AB) flux fields. The non-relativistic bound state energies together with their wave functions are calculated for two spatially-dependent mass distribution functions. We also study the thermal quantities of such a system. Further, the canonical formalism is used to compute various thermodynamic variables for second choosing mass by using the Gibbs formalism. We give plots for energy as a function of various physical parameters. The behavior of the internal energy, specific heat and entropy as functions of temperature and mass density parameter in the inverse-square mass case for different values of magnetic field are shown.