Abstract
We show that the MIC-Kepler probrem is simply solved via the phase-space formulation of non-relativistic quantum mechanics. The MIC-Kepler problem is the Hamiltonian system behind the hydrogen atom subjected to the influence of the Dirac’s magnetic monopole field and the square inverse centrifugal potential force besides the Coulomb’s potential force. We get the energy spectrum of the bound states explicitly and construct the Green’s functions for $E \lt 0$ by means of the Moyal product, which is one of the “star” products denoted by “$\ast$”.
Information
Published: 1 January 2012
First available in Project Euclid: 13 July 2015
zbMATH: 1382.81129
MathSciNet: MR3087971
Digital Object Identifier: 10.7546/giq-13-2012-188-204
Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
