Application of the Mathematical Methods of the Braid Group Theory to Quantization of Many-Particle Systems

• Authors: D. Jacak , L. Jacak , K. Wieczorek
• Languages of publication: EN

Abstracts

EN

The problem of the non-standard statistics for one-, two- and three-dimensional systems of N identical particles on various manifolds is reviewed in terms of the braid group theory. The braid groups together with their unitary representations are studied for the line, circle, plane, sphere, torus and the three-dimensional Euclidean space. Nonequivalent quantizations of several physical systems are presented.

Keywords

EN

03.65.Bz; 05.30.-d

Discipline

• 05.30.-d: Quantum statistical mechanics(for quantum fluids aspects, see 67.10.Fj)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1994
• Volume: 85
• Issue: 3
• Pages: 483-496

Dates

published

1994-03

received

1993-06-07

Contributors

author

D. Jacak

• Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

author

L. Jacak

• Institute of Physics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

author

K. Wieczorek

• Institute of Physics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Identifiers

DOI

10.12693/APhysPolA.85.483