Geodesic
Nontrivial $U(1)$ bundles over tori and properties of many-particle systems with topological charge
Teoretičeskaâ i matematičeskaâ fizika, Tome 96 (1993) no. 1, pp. 44-63

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_1993_96_1_a3,
     author = {O. M. Ivanov and A. G. Savinkov},
     title = {Nontrivial $U(1)$ bundles over tori and properties of many-particle systems with topological charge},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {44--63},
     publisher = {mathdoc},
     volume = {96},
     number = {1},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_96_1_a3/}
}
TY  - JOUR
AU  - O. M. Ivanov
AU  - A. G. Savinkov
TI  - Nontrivial $U(1)$ bundles over tori and properties of many-particle systems with topological charge
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1993
SP  - 44
EP  - 63
VL  - 96
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1993_96_1_a3/
LA  - ru
ID  - TMF_1993_96_1_a3
ER  - 
%0 Journal Article
%A O. M. Ivanov
%A A. G. Savinkov
%T Nontrivial $U(1)$ bundles over tori and properties of many-particle systems with topological charge
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1993
%P 44-63
%V 96
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1993_96_1_a3/
%G ru
%F TMF_1993_96_1_a3
O. M. Ivanov; A. G. Savinkov. Nontrivial $U(1)$ bundles over tori and properties of many-particle systems with topological charge. Teoretičeskaâ i matematičeskaâ fizika, Tome 96 (1993) no. 1, pp. 44-63. http://geodesic.mathdoc.fr/item/TMF_1993_96_1_a3/