Bound States of the Hydrogen Atom in the Presence of a Magnetic Monopole Field and an Aharonov-Bohm Potential
Victor M. Villalba
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 Schrödinger 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.
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