Bound States of the Hydrogen Atom in the Presence of a Magnetic Monopole Field and an Aharonov-Bohm Potential

TL;DR

This paper investigates how the energy spectrum of a hydrogen atom is affected by the presence of a magnetic monopole and an Aharonov-Bohm potential, providing exact solutions to the Schrödinger and Klein-Gordon equations.

Contribution

It offers a detailed analysis of bound states in a hydrogen atom influenced by magnetic monopoles and Aharonov-Bohm fields, including exact solutions and spectrum dependence.

Findings

Hydrogen energy levels depend on monopole and Aharonov-Bohm parameters

Exact solutions to Schrödinger and Klein-Gordon equations obtained

Spectrum modifications due to magnetic monopole and Aharonov-Bohm field

Abstract

In the present article we analyze the bound states of an electron in a Coulomb field when an Aharonov-Bohm field as well as a magnetic Dirac monopole are present. We solve, via separation of variables, the Schr\"odinger equation in spherical coordinates and we show how the Hydrogen energy spectrum depends on the Aharonov-Bohm and the magnetic monopole strengths. In passing, the Klein-Gordon equation is solved.