caa a22 4500 46903517X CHVBK 20180323132754.0 cr unu---uuuuu 170328e19920401xx s 000 0 eng 10.1007/BF01019828 doi (NATIONALLICENCE)springer-10.1007/BF01019828 Charge dynamics on U (1) abundles [Elektronische Daten] [A. Ryzhov, A. Savinkov] The quantum dynamics of a particle on (2d-2) universalU(1) fiber bundles is considered. The analysis on these bundles generalizes, in particular, the description of a system consisting of a charge and a Dirac magnetic monopole. The spectral properties of Hamiltonians of a charge in a connection field of monopole type are studied, and a representation in which they have a simple form is found. The complete set of states in the global spaces of theU(1) bundles graded by the topological numbern is constructed. It is shown that in each sector of the state space corresponding to the numbern≠0 spatial parity is violated. The violation is topological in nature, i.e., it does not depend on the choice of the connection in the considered fiber bundles. Plenum Publishing Corporation, 1992 Ryzhov A. aut Savinkov A. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 91/1(1992-04-01), 351-361 0040-5779 91:1<351 1992 91 11232 https://doi.org/10.1007/BF01019828 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01019828 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ryzhov A. aut NATIONALLICENCE 700 1- Savinkov A. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 91/1(1992-04-01), 351-361 0040-5779 91:1<351 1992 91 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer