RELATIVISTIC SPIN 1 2 PARTICLE IN THE TOTAL SPACE OF THE PRINCIPAL U(1) MONOPOLE BUNDLE/

Authors
IVANOV OM SAVINKOV AG
Citation
Om. Ivanov et Ag. Savinkov, RELATIVISTIC SPIN 1 2 PARTICLE IN THE TOTAL SPACE OF THE PRINCIPAL U(1) MONOPOLE BUNDLE/, Theoretical and mathematical physics, 93(1), 1992, pp. 1112-1125
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
93
Issue
1
Year of publication
1992
Pages
1112 - 1125
Database
ISI
SICI code
0040-5779(1992)93:1<1112:RS12PI>2.0.ZU;2-J
Abstract
The quantum dynamics of a relativistic spin 1/2 particle moving in the total space P of the principal U(1) bundle associated with the Dirac monopole is described. It is completely characterized in terms of an a dditional U(1) bundle P that is intimately assoicated with the scatte ring problem. A representation in which the dynamics takes its simples t form is obtained. The lift of the Lorentz group into the total space is constructed.