Particles, Generalized Statistics and Categories
量子代数
2007-05-23 v1 数学物理
math.MP
摘要
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 well--defined 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.
引用
@article{arxiv.math/0104141,
title = {Particles, Generalized Statistics and Categories},
author = {Wladyslaw Marcinek},
journal= {arXiv preprint arXiv:math/0104141},
year = {2007}
}
备注
18 pages in Latex