Relativistic spin~1/2 particle in the total space of the principal~$U(1)$ monopole bundle
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 49-66
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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 additional $U(1)$ bundle $P^*$ that is intimately assoicated with the scattering problem. A representation in which the dynamics takes its simplest form is obtained. The lift of the Lorentz group into the total space is constructed.
@article{TMF_1992_93_1_a4,
author = {O. M. Ivanov and A. G. Savinkov},
title = {Relativistic spin~1/2 particle in the total space of the principal~$U(1)$ monopole bundle},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {49--66},
publisher = {mathdoc},
volume = {93},
number = {1},
year = {1992},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a4/}
}
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O. M. Ivanov; A. G. Savinkov. Relativistic spin~1/2 particle in the total space of the principal~$U(1)$ monopole bundle. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 49-66. http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a4/