TOPOLOGICAL CHARGE QUANTIZATION VIA PATH INTEGRATION - AN APPLICATIONOF THE KUSTAANHEIMO-STIEFEL TRANSFORMATION

Authors
INOMATA A JUNKER G WILSON R
Citation
A. Inomata et al., TOPOLOGICAL CHARGE QUANTIZATION VIA PATH INTEGRATION - AN APPLICATIONOF THE KUSTAANHEIMO-STIEFEL TRANSFORMATION, Foundations of physics, 23(8), 1993, pp. 1073-1091
Citations number
34
Categorie Soggetti
Physics
Journal title
Foundations of physics → ACNP
ISSN journal
00159018
Volume
23
Issue
8
Year of publication
1993
Pages
1073 - 1091
Database
ISI
SICI code
0015-9018(1993)23:8<1073:TCQVPI>2.0.ZU;2-O
Abstract
The unified treatment of the Dirac monopole., the Schwinger monopole, and the Aharonov-Bohm problem by Barut and Wilson is revisited via a p ath integral approach. The Kustaanheimo-Stiefel transformation of spac e and time is utilized to calculate the path integral for a charged pa rticle in the singular vector potential. In the process of dimensional reduction, a topological charge quantization rule is derived, which c ontains Dirac's quantization condition as a special case.