摘要
The Lagrangian of Einstein's special relativity with universal parameter c(SR_c)is invariant under Poincarétransformation,which preserves Lorentz metric η_μν.The SR_c has been extended to be one which is invariant underde Sitter transformation that preserves so-called Beltrami metric B_(μv).There are two universal parameters,c and R,inthis Special Relativity(denoted as SR_(cR)).The Lagrangian-Hamiltonian formulism of SR_(cR) is formulated in this paper.The canonic energy,canonic momenta,and 10 Noether charges corresponding to the space-time's,de Sitter symmetryare derived.The canonical quantization of the mechanics for SR_(CR)-free particle is performed.The physics related to itis discussed.
The Lagrangian of Einstein's special relativity with universal parameter c(SR_c)is invariant under Poincaré transformation,which preserves Lorentz metric η_μν.The SR_c has been extended to be one which is invariant under de Sitter transformation that preserves so-called Beltrami metric B_(μv).There are two universal parameters,c and R,in this Special Relativity(denoted as SR_(cR)).The Lagrangian-Hamiltonian formulism of SR_(cR) 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 SR_(CR)-free particle is performed.The physics related to it is discussed.
基金
National Natural Science Foundation of China under Grant No.90403021
the Doctoral Progran Funds of the Ministry of Education of China under Grant No.20020358040
