Representations and Properties of Generalized A_r Statistics
classification
🧮 math-ph
math.MP
keywords
statisticsgeneralizedrepresentationsalgebraicbargmann-fockcompletelyderiveddeveloped
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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.
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