Hamiltonian Formalism of deSitter Invariant Special Relativity
Abstract
The Lagrangian of Einstein's special relativity with universal parameter c (Script SR_{c}) is invariant under Poincaré transformation, which preserves Lorentz metric η_{μν}. The Script SR_{c} has been extended to be one which is invariant under de Sitter transformation that preserves socalled Beltrami metric B_{μν}. There are two universal parameters, c and R, in this Special Relativity (denoted as Script SR_{cR}). The LagrangianHamiltonian formulism of Script SR_{cR} is formulated in this paper. The canonic energy, canonic momenta, and 10 Noether charges corresponding to the spacetime's de Sitter symmetry are derived. The canonical quantization of the mechanics for Script SR_{cR}free particle is performed. The physics related to it is discussed.
 Publication:

Communications in Theoretical Physics
 Pub Date:
 July 2007
 DOI:
 10.1088/02536102/48/1/007
 arXiv:
 arXiv:hepth/0512319
 Bibcode:
 2007CoTPh..48...27Y
 Keywords:

 High Energy Physics  Theory
 EPrint:
 24 pages, no figure