3 papers
math-ph2004
Number Operator Algebras and generalizations of supersymmetry
Fabien Besnard
Several quantum systems have been used in the last few years to extend supersymmetry. In this paper we show all this systems fit into the picture of what we call "Number Operator A…
math-ph2001
Number Operator Algebras
Fabien Besnard
Under some hypotheses (symmetry, confluence), we enumerate all quadratically presented algebras, generated by creation and destruction operators, in which number operators exist. W…
math-ph2000
Number Operator Algebras and deformations of epsilon-algebras
Fabien Besnard
It is well known that the Lie-algebra structure on quantum algebras gives rise to a Poisson-algebra structure on classical algebras as the Planck constant goes to 0. We show that t…