Number Operator Algebras

dc.creatorBesnard, Fabien
dc.date2001-03-13
dc.date.accessioned2026-07-07T04:28:21Z
dc.date.available2026-07-07T04:28:21Z
dc.descriptionUnder 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 pseudo-q-bosons) by a completion operation.
dc.description58 pages, no figure
dc.identifierhttps://arxiv.org/abs/math-ph/0103017
dc.identifierhttp://arxiv.org/abs/math-ph/0103017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56755
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject81R99; 16Z05
dc.titleNumber Operator Algebras
dc.typetext

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