NONTRIVIAL U(1) BUNDLES OVER TORI AND PROPERTIES OF MANY-PARTICLE SYSTEMS WITH TOPOLOGICAL CHARGE

Authors
IVANOV OM SAVINKOV AG
Citation
Om. Ivanov et Ag. Savinkov, NONTRIVIAL U(1) BUNDLES OVER TORI AND PROPERTIES OF MANY-PARTICLE SYSTEMS WITH TOPOLOGICAL CHARGE, Theoretical and mathematical physics, 96(1), 1993, pp. 806-817
Citations number
36
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
96
Issue
1
Year of publication
1993
Pages
806 - 817
Database
ISI
SICI code
0040-5779(1993)96:1<806:NUBOTA>2.0.ZU;2-U
Abstract
The quantum mechanics of a system of particles on S1 is considered. We describe the main properties of the dynamics of many-particle configu rations defined on global spaces of U(1) bundles, which are realized a s dynamical spaces on the quantization of systems possessing singulari ties (globally non-Hamiltonian on the original domain of definition S1 XS1X...XS1). The absence of an operation of particle permutation compa tible with the structure of the fiber bundle is noted. It reveals a si milarity between these systems and anyons.