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 TMF, 1992, Volume 93, Number 1, Pages 49–66 (Mi tmf5733)

Relativistic spin 1/2 particle in the total space of the principal $U(1)$ monopole bundle

O. M. Ivanov, A. G. Savinkov

P. N. Lebedev Physical Institute, Russian Academy of Sciences

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 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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English version:
Theoretical and Mathematical Physics, 1992, 93:1, 1112–1125

Bibliographic databases:

Citation: O. M. Ivanov, A. G. Savinkov, “Relativistic spin 1/2 particle in the total space of the principal $U(1)$ monopole bundle”, TMF, 93:1 (1992), 49–66; Theoret. and Math. Phys., 93:1 (1992), 1112–1125

Citation in format AMSBIB
\Bibitem{IvaSav92} \by O.~M.~Ivanov, A.~G.~Savinkov \paper Relativistic spin~1/2 particle in the total space of the principal~$U(1)$ monopole bundle \jour TMF \yr 1992 \vol 93 \issue 1 \pages 49--66 \mathnet{http://mi.mathnet.ru/tmf5733} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1226210} \transl \jour Theoret. and Math. Phys. \yr 1992 \vol 93 \issue 1 \pages 1112--1125 \crossref{https://doi.org/10.1007/BF01016469} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1992LF86000005}