Non-Relativistic Particle under the Influence of Aharonov-Bohm Flux Field Subject to Physical Potentials and the Nikiforov-Uvarov Method

TL;DR

This paper investigates the effects of Aharonov-Bohm flux and various physical potentials on a non-relativistic particle using the Nikiforov-Uvarov method, providing new insights into energy levels and wave functions.

Contribution

It applies the Nikiforov-Uvarov method to solve the Schrödinger equation with multiple potentials under Aharonov-Bohm flux, revealing modifications in energy spectra.

Findings

Energy levels are altered by the flux and potentials.

Wave functions are explicitly derived for each potential.

Potential and flux influence the particle's quantum states.

Abstract

In this work, the non-relativistic wave equation via the Schr\"{o}dinger wave equation under the influence of the Aharonov-Bohm flux field Subject to physical potentials of various kinds is investigated. These potentials are modified Coulomb potential, modified harmonic oscillator potential, the Kratzer-Feus potential, and the Mie-type potential which have wide applications in different branches of physics and chemistry. We solve the Schrodinger wave equation using the Nikiforov-Uvarov (NU) method and obtain the energy profiles and the wave function of the non-relativistic particle, and analyze the effects of potential and the quantum flux on them. We show that each non-relativistic energy level gets modified in comparison to the known results obtained in the literature.