Deformed Quantum Relativistic Phase Spaces -- an Overview
High Energy Physics - Theory
2007-05-23 v2
Abstract
We describe three ways of modifying the relativistic Heisenberg algebra - first one not linked with quantum symmetries, second and third related with the formalism of quantum groups. The third way is based on the identification of generalized deformed phase space with the semidirect product of two dual Hopf algebras describing quantum group of motions and the corresponding quantum Lie algebra. As an example the -deformation of relativistic Heisenberg algebra is given, determined by -deformed D=4 Poincar\'{e} symmetries.
Cite
@article{arxiv.hep-th/9812063,
title = {Deformed Quantum Relativistic Phase Spaces -- an Overview},
author = {J. Lukierski},
journal= {arXiv preprint arXiv:hep-th/9812063},
year = {2007}
}
Comments
15 pages, LaTeX. Revised version. Added: To be published in the Proceedings of III International Workshop ``Classical and Quantum Integrable Systems", Yerevan, July 1998, Eds. L.D. Mardoyan et al., JINR Dubna Publ. Dept