QUANTUM GROUPS AND VON NEUMANN THEOREM-Reference-Cited by-同舟云学术

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QUANTUM GROUPS AND VON NEUMANN THEOREM

Published:1994-02-20 Issue:04 Volume:08 Page:269-276
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

IORIO ALFREDO¹,VITIELLO GIUSEPPE¹

Affiliation:

1. Dipartimento di Fisica, Università di Salerno and INFN, Napoli, 184100 Salerno, Italy

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984994000285

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1. Quantum groups and polymer quantum mechanics;Modern Physics Letters A;2021-10-20

2. Bekenstein bound from the Pauli principle;Physical Review D;2020-11-02

3. On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature;Systems;2014-05-14

4. Fractals as macroscopic manifestation of squeezed coherent states and brain dynamics;Journal of Physics: Conference Series;2012-08-24

5. Fractals, coherent states and self-similarity induced noncommutative geometry;Physics Letters A;2012-07

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