Hamiltonian formalism of the de-Sitter invariant special relativity
Dec, 2005
24 pages
Published in:
- Commun.Theor.Phys. 48 (2007) 27-36
e-Print:
- hep-th/0512319 [hep-th]
Report number:
- USTC-ICTS-05-15
View in:
Citations per year
Abstract: (arXiv)
Lagrangian of the Einstein's special relativity with universal parameter () is invariant under Poincar\'e transformation which preserves Lorentz metric . The has been extended to be one which is invariant under de Sitter transformation that preserves so called Beltrami metric . There are two universal parameters and in this Special Relativity (denote it as ). The Lagrangian-Hamiltonian formulism of 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 -free particle is performed. The physics related to it is discussed.Note:
- 24 pages, no figure
- 04.20.Fy
- 11.30.Cp
- 11.10.Ef
- 03.30.+p
- de-Sitter invariance
- special relativity
- canonic energy and canonic momenta
- Beltrami metric
- special relativity
- space: de Sitter
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