Number Operator Algebras Fabien Besnard 7 th February 2008
نویسنده
چکیده
Under some hypotheses (symmetry, confluence), we enumerate all quadratically presented algebras, generated by creation and destruction operators, in which number operators exist. We show that these are algebras of bosons, fermions, their immediate generalizations that we call pseudo-bosons and pseudo-fermions, and also matrix algebras, in the finitely generated case. We then recover q-bosons (and pseudoq-bosons) by a completion operation.
منابع مشابه
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