Lie algebraic generalization of quantum statistics
نویسنده
چکیده
Para-Fermi statistics and Fermi statistics are known to be associated with particular representations of the Lie algebra so(2n+1)≡ Bn. Similarly paraBose and Bose statistics are related with the Lie superalgebra osp(1|2n)≡ B(0|n). We develop an algebraical framework for the generalization of quantum statistics based on the Lie algebras An, Bn, Cn and Dn.
منابع مشابه
Algebraic generalization of quantum statistics
Generalized quantum statistics such as para-Bose and para-Fermi statistics are related to the basic classical Lie superalgebras B(0|n) and Bn. We give a quite general definition of “a generalized quantum statistics associated to a Lie superalgebra G”. This definition is closely related to a certain Z-grading of G. The generalized quantum statistics is determined by a set of root vectors (the cr...
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