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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 96, Number 1, Pages 44–63 (Mi tmf1490)  

This article is cited in 1 scientific paper (total in 1 paper)

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
References:
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.
Received: 03.09.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 96, Issue 1, Pages 806–817
DOI: https://doi.org/10.1007/BF01074109
Bibliographic databases:
Language: Russian
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
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\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
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\mathscinet{http://mathscinet.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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MN25800004}
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  • https://www.mathnet.ru/eng/tmf/v96/i1/p44
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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