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VOL. 14 | 2013 Green's Function, Wavefunction and Wigner Function of the MIC-Kepler Problem
Tomoyo Kanazawa

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

## Abstract

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.

## Information

Published: 1 January 2013
First available in Project Euclid: 13 July 2015

zbMATH: 1382.81090
MathSciNet: MR3183934

Digital Object Identifier: 10.7546/giq-14-2013-116-125