中文摘要：

【正】 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.