Inomogeneous Quantum Groups as Symmetries of Phonons

Preprint

2 January 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9201002

Abstract

The quantum deformed (1+1) Poincare' algebra is shown to be the kinematical symmetry of the harmonic chain, whose spacing is given by the deformation parameter. Phonons with their symmetries as well as multiphonon processes are derived from the quantum group structure. Inhomogeneous quantum groups are thus proposed as kinematical invariance of discrete systems.

Keywords

INOMOGENEOUS QUANTUM
DISCRETE SYSTEMS
QUANTUM DEFORMED
QUANTUM GROUP
KINEMATICAL
HARMONIC
PHONONS
ALGEBRA

All Related Versions

Version 1, 1992-01-02, ArXiv
Published version: Physical Review Letters, 68 (25), 3718.

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