Particles, Generalized Statistics and Categories
Abstract
Interacting systems of particles with generalized statistics are considered on both classical and quantum level. It is shown that all possible quantum states and corresponding processes can be represented in terms of certain specific categories. The corresponding Fock space representation is discussed. The problem of existence of welldefined scalar product is considered. It is shown that commutation relations corresponding to a system with generalized statistics can be constructed from relations corresponding to Bolzman statistics.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2001
 arXiv:
 arXiv:math/0104141
 Bibcode:
 2001math......4141M
 Keywords:

 Quantum Algebra;
 Mathematical Physics
 EPrint:
 18 pages in Latex