Particles, Generalized Statistics and Categories

Details Particles, Generalized Statistics and Categories Particles, Generalized Statistics and Categories

2001-04-12

arxiv.org/abs/math/0104141v1

Mathematics

Quantum Algebra

18 pages in Latex

Scientific paper

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.

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