Hamiltonian Formalism of the de-Sitter Invariant Special Relativity
Mu-Lin Yan, Neng-Chao Xiao, Wei Huang, Si Li
Abstract
Lagrangian of the Einstein's special relativity with universal parameter c (SRc) is invariant under Poincaré transformation which preserves Lorentz metric ημν. The SRc has been extended to be one which is invariant under de Sitter transformation that preserves so called Beltrami metric Bμν. There are two universal parameters c and R in this Special Relativity (denote it as SRcR). The Lagrangian-Hamiltonian formulism of SRcR is formulated in this paper. The canonic energy, canonic momenta, and 10 Noether charges corresponding to the space-time's de Sitter symmetry are derived. The canonical quantization of the mechanics for SRcR-free particle is performed. The physics related to it is discussed.
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