Quantum Groups and Von Neumann Theorem

Details Quantum Groups and Von Neumann Theorem Quantum Groups and Von Neumann Theorem

2000-09-28

arxiv.org/abs/math-ph/0009035v1

Mod.Phys.Lett. B8 (1994) 269

Physics

Mathematical Physics

9 pages, LaTeX. Paper published in 1994

Scientific paper

We discuss the $q$ deformation of Weyl-Heisenberg algebra in connection with
the von Neumann theorem in Quantum Mechanics. We show that the $q$-deformation
parameter labels the Weyl systems in Quantum Mechanics and the unitarily
inequivalent representations of the canonical commutation relations in Quantum
Field Theory.

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