q-Supersymmetric Generalization of von Neumann's Theorem
funct-an
2009-10-22 v1 High Energy Physics - Theory
Operator Algebras
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.
Keywords
Cite
@article{arxiv.funct-an/9305003,
title = {q-Supersymmetric Generalization of von Neumann's Theorem},
author = {M. Chaichian and R. Gonzalez Felipe and P. Presnajder},
journal= {arXiv preprint arXiv:funct-an/9305003},
year = {2009}
}
Comments
10 pages, Latex, HU-TFT-93-28