Topological charge quantization via path integration: An application of the Kustaanheimo-Stiefel transformation |
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| Authors: | Akira Inomata Georg Junker Raj Wilson |
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| Institution: | (1) Department of Physics, State University of New York at Albany, 12222 Albany, New York;(2) Institut für Theoretische Physik I, Universität Erlangen-Nürnberg, Staudtstr. 7, D-91058 Erlangen, Germany;(3) Division of Mathematics, University of Texas, 78249 San Antonio, Texas |
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| Abstract: | The unified treatment of the Dirac monopole, the Schwinger monopole, and the Aharonov-Bohm problem by Barut and Wilson is revisited via a path integral approach. The Kustaanheimo-Stiefel transformation of space and time is utilized to calculate the path integral for a charged particle in the singular vector potential. In the process of dimensional reduction, a topological charge quantization rule is derived, which contains Dirac's quantization condition as a special case.
Everything that is made beautiful and fair and lovely is made for the eye of one who sees. Jelaluddin Rumi,Mathnawi I, 2383]
Dedicated to Prof. Asim O. Barut on the occasion of his 65th birthday. |
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