2001/04/12 by Wladyslaw Marcinek, Władysław Marcinek, Marcinek, Wladyslaw
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Quantum Algebra (math.QA) #Quantum Mechanics and Applications #math-ph #math.MP #math.QA
paper · pdf · doi:10.48550/arxiv.math/0104141
18 pages in Latex
arxiv created 2001/04/12 · openalex publication_date 2001/04/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.