Some Comments on Categories, Particles and Interactions

Details Some Comments on Categories, Particles and Interactions Some Comments on Categories, Particles and Interactions

2000-02-28

arxiv.org/abs/math/0002236v3

Mathematics

Quantum Algebra

19 pages in Latex. One bad formula on the page 4 has been canceled

Scientific paper

An algebraic formalism for the study of interacting particle systems is developed. Particle processes are described in terms of the category theory. The problem for the unique description of these processes is discussed. Categories relevant for this subject are described. The concept of generalized transmutations of interacting particle systems is considered. The connection with a system with some generalized statistics is explained.

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