X iv : m at h - ph / 0 60 60 49 v 1 2 0 Ju n 20 06 REPRESENTATIONS AND PROPERTIES OF GENERALIZED A r STATISTICS
نویسنده
چکیده
A generalization of A r statistics is proposed and developed. The generalized A r quantum statistics is completely specified by a set of Jacobson generators satisfying a set of triple algebraic relations. Fock-Hilbert representations and Bargmann-Fock realizations are derived.
منابع مشابه
60 50 v 1 2 0 Ju n 20 06 REPRESENTATIONS AND PROPERTIES OF GENERALIZED A r STATISTICS , COHERENT STATES AND ROBERTSON UNCERTAINTY RELATIONS
The generalization of A r statistics, including bosonic and fermionic sectors, is performed by means of the so-called Jacobson generators. The corresponding Fock spaces are constructed. The Bargmann representations are also considered. For the bosonic A r statistics, two inequivalent Bargmann realizations are developed. The first (resp. second) realization induces, in a natural way, coherent st...
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متن کاملar X iv : m at h - ph / 0 30 40 06 v 2 5 A pr 2 00 3 Dirac Spinors and Representations of GL ( 4 ) Group in GR
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تاریخ انتشار 2006