Open Access
2013 Green's Function, Wavefunction and Wigner Function of the MIC-Kepler Problem
Tomoyo Kanazawa
J. Geom. Symmetry Phys. 30: 63-73 (2013). DOI: 10.7546/jgsp-30-2013-63-73


The phase-space formulation of the nonrelativistic quantum mechanics is constructed on the basis of a deformation of the classical mechanics by the $\ast$-product. We have taken up the MIC-Kepler problem in which Iwai and Uwano have interpreted its wave-function as the cross section of complex line bundle associated with a principal fibre bundle in the conventional operator formalism. We show that its Green's function, which is derived from the $\ast$-exponential corresponds to unitary operator through the Weyl application, is equal to the infinite series that consists of its wave-functions. Finally, we obtain its Wigner function.


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Tomoyo Kanazawa. "Green's Function, Wavefunction and Wigner Function of the MIC-Kepler Problem." J. Geom. Symmetry Phys. 30 63 - 73, 2013.


Published: 2013
First available in Project Euclid: 26 May 2017

zbMATH: 1292.81083
MathSciNet: MR3113661
Digital Object Identifier: 10.7546/jgsp-30-2013-63-73

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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