Deformed Quantum Relativistic Phase Spaces -- an Overview

Details Deformed Quantum Relativistic Phase Spaces -- an Overview Deformed Quantum Relativistic Phase Spaces -- an Overview

1998-12-08

arxiv.org/abs/hep-th/9812063v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX. Revised version. Added: To be published in the Proceedings of III International Workshop ``Classical and Quan

Scientific paper

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 $\kappa$-deformation of relativistic Heisenberg algebra is given, determined by $\kappa$-deformed D=4 Poincar\'{e} symmetries.

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