Open Access
2012 Star Product and Its Application to the MIC-Kepler Problem
Tomoyo Kanazawa, Akira Yoshioka
J. Geom. Symmetry Phys. 25: 57-75 (2012). DOI: 10.7546/jgsp-25-2012-57-75


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 $E ˂ 0$ by means of the Moyal product, which is one of the ‘star’ products denoted by ‘$\ast$’.


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Tomoyo Kanazawa. Akira Yoshioka. "Star Product and Its Application to the MIC-Kepler Problem." J. Geom. Symmetry Phys. 25 57 - 75, 2012.


Published: 2012
First available in Project Euclid: 25 May 2017

zbMATH: 1262.81082
MathSciNet: MR2976794
Digital Object Identifier: 10.7546/jgsp-25-2012-57-75

Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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