Geodesic
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 
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/
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     title = {Relativistic spin~1/2 particle in the total space of the principal~$U(1)$ monopole bundle},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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