Quantum Groups and Von Neumann Theorem
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
We discuss the deformation of Weyl-Heisenberg algebra in connection with the von Neumann theorem in Quantum Mechanics. We show that the -deformation parameter labels the Weyl systems in Quantum Mechanics and the unitarily inequivalent representations of the canonical commutation relations in Quantum Field Theory.
Cite
@article{arxiv.math-ph/0009035,
title = {Quantum Groups and Von Neumann Theorem},
author = {Alfredo Iorio and Giuseppe Vitiello},
journal= {arXiv preprint arXiv:math-ph/0009035},
year = {2015}
}
Comments
9 pages, LaTeX. Paper published in 1994