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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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