Hamiltonian Formalism of de-Sitter Invariant Special Relativity |
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| Authors: | YAN Mu-Lin XIAO Neng-Chao HUANG Wei LI Si |
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| Institution: | 1. Interdisciplinary Center for Theoretical Study, University
of Science and Technology of China, Hefei 230026, China
;2. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | The Lagrangian of 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 (denoted 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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| Keywords: | de-Sitter invariance special relativity canonic energy and canonic momenta Beltrami metric |
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