APPLICATION OF THE MATHEMATICAL-METHODS OF THE BRAID GROUP-THEORY TO QUANTIZATION OF MANY-PARTICLE SYSTEMS

Authors
JACAK D JACAK L WIECZOREK K
Citation
D. Jacak et al., APPLICATION OF THE MATHEMATICAL-METHODS OF THE BRAID GROUP-THEORY TO QUANTIZATION OF MANY-PARTICLE SYSTEMS, Acta Physica Polonica. A, 85(3), 1994, pp. 483-496
Citations number
16
Categorie Soggetti
Physics
Journal title
Acta Physica Polonica. A → ACNP
ISSN journal
05874246
Volume
85
Issue
3
Year of publication
1994
Pages
483 - 496
Database
ISI
SICI code
0587-4246(1994)85:3<483:AOTMOT>2.0.ZU;2-X
Abstract
The problem of the non-standard statistics for one-, two- and three-di mensional systems of N identical particles on various manifolds is rev iewed in terms of the braid group theory. The braid groups together wi th their unitary representations are studied for the line, circle, pla ne, sphere, torus and the three-dimensional Euclidean space. Nonequiva lent quantizations of several physical systems are presented.