Generalized quantum statistics and Lie (super)algebras
- Institute for Nuclear Research and Nuclear Energy, Bould. Tsarigradsko Chaussee 72, 1784 Sofia (Bulgaria)
Generalized quantum statistics, such as paraboson and parafermion statistics, are characterized by triple relations which are related to Lie (super)algebras of type B. The correspondence of the Fock spaces of parabosons, parafermions as well as the Fock space of a system of parafermions and parabosons to irreducible representations of (super)algebras of type B will be pointed out. Example of generalized quantum statistics connected to the basic classical Lie superalgebra B(1|1) ≡ osp(3|2) with interesting physical properties, such as noncommutative coordinates, will be given. Therefore the article focuses on the question, addressed already in 1950 by Wigner: do the equation of motion determine the quantum mechanical commutation relation?.
- OSTI ID:
- 22590978
- Journal Information:
- AIP Conference Proceedings, Vol. 1722, Issue 1; Conference: BPU-9: 9. international physics conference of the Balkan Physical Union, Istanbul (Turkey), 24-27 Aug 2015; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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