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 TMF: Year: Volume: Issue: Page: Find

 TMF, 1993, Volume 96, Number 1, Pages 44–63 (Mi tmf1490)

Nontrivial $U(1)$ bundles over tori and properties of many-particle systems with topological charge

O. M. Ivanov, A. G. Savinkov

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

Abstract: The quantum mechanics of a system of particles on $S^1$ is considered. We describe the main properties of the dynamics of manyparticle configurations defined on global spaces of $U(1)$ bundles, which are realized as dynamical spaces on the quantization of systems possessing singularities (globally non-Hamiltonian on the original domain of definitionS $S^1 \times \cdots \times S^1$. The absence of an operation of particle permutation compatible with the structure of the fiber bundle is noted. It reveals a similarity between these systems and anyons.

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English version:
Theoretical and Mathematical Physics, 1993, 96:1, 806–817

Bibliographic databases:

Citation: O. M. Ivanov, A. G. Savinkov, “Nontrivial $U(1)$ bundles over tori and properties of many-particle systems with topological charge”, TMF, 96:1 (1993), 44–63; Theoret. and Math. Phys., 96:1 (1993), 806–817

Citation in format AMSBIB
\Bibitem{IvaSav93} \by O.~M.~Ivanov, A.~G.~Savinkov \paper Nontrivial $U(1)$ bundles over tori and properties of many-particle systems with topological charge \jour TMF \yr 1993 \vol 96 \issue 1 \pages 44--63 \mathnet{http://mi.mathnet.ru/tmf1490} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1243859} \zmath{https://zbmath.org/?q=an:0804.58066} \transl \jour Theoret. and Math. Phys. \yr 1993 \vol 96 \issue 1 \pages 806--817 \crossref{https://doi.org/10.1007/BF01074109} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1993MN25800004}