q-Supersymmetric Generalization of von Neumann's Theorem

Details q-Supersymmetric Generalization of von Neumann's Theorem q-Supersymmetric Generalization of von Neumann's Theorem

1993-05-21

arxiv.org/abs/funct-an/9305003v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex, HU-TFT-93-28

Scientific paper

10.1088/0305-4470/26/18/005

Assuming that there exist operators which form an irreducible representation of the q-superoscillator algebra, it is proved that any two such representations are equivalent, related by a uniquely determined superunitary transformation. This provides with a q-supersymmetric generalization of the well-known uniqueness theorem of von Neumann for any finite number of degrees of freedom.

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