LORENTZ TRANSFORMATIONS AS LIE-POISSON SYMMETRIES

Loading...
Thumbnail Image
Date
1998-06-04
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Physics
Abstract

We write down the Poisson structure for a relativistic particle where the Lorentz group does not act canonically, but instead as a Poisson-Lie group. In so doing we obtain. the classical limit of a particle moving on a noncommutative spaed possessing SL(q)(2, C) invariance. We show that if the standard mass shell constraint is chosen for the Hamiltonian function, then the particle interacts with the space-time. We solve for the particle trajectory and find that it originates and terminates at singularities. (C) 1995 American Institute of Physics.

Description
Keywords
QUANTUM MINKOWSKI SPACE, EQUATION, ALGEBRA, Physics, Mathematical, Physics
Citation
Simoni, A., Stern, A., Yakushin, I. (1995): Lorentz Transformation as Lie-Poisson Symmetries. Journal of Mathematical Physics, 36(10). DOI: https://doi.org/10.1063/1.531278