q-Supersymmetric Generalization of von Neumann's Theorem

M. Chaichian; R. Gonzalez Felipe; P. Presnajder

doi:10.1088/0305-4470/26/18/005

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arXiv · funct-an/9305003

q-Supersymmetric Generalization of von Neumann's Theorem

M. Chaichian·R. Gonzalez Felipe·P. Presnajder

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Abstract

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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M. Chaichian, R. Gonzalez Felipe, P. Presnajder. 1993-05-21. q-Supersymmetric Generalization of von Neumann's Theorem. https://doi.org/10.1088/0305-4470%2F26%2F18%2F005

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