de Sitter李代数的运动压缩与动力压缩
Kinematical versus Dynamical Contractions of the de Sitter Lie algebras
摘要：
我们明确和澄清更好的收缩方法，巴克里和Levy-Leblond \cite{jmll}用来连接所有的运动李群。首先，我们使用运动学参数：光速$c$、宇宙半径$r$和宇宙周期$τ$，它们受$r=cτ$的约束。其次，我们使用的动力学参数是质量$m$，能量$E_0$和顺应性$C$。运动学和动力学参数通过三个关系式$c^2=\frac{E_0}{m}$、$τ^2=mC$和$r^2=CE_0$相关联。对于每个运动学李代数，我们表示这些动力学参数的函数中的相关物理量。
英文摘要：
We explicit and clarify better the contraction method that Bacry and Levy-Leblond\cite{jmll} used to link all the kinematical Lie groups. Firstly, we use the kinematical parameters: the speed $c$ of light, the radius $r$ of the universe and the period $τ$ of the universe constrained by $r=cτ$. Secondly, we use the dynamical parameters that are mass $m$, energy $E_0$ and compliance $C$. The kinematical and the dynamical parameters are related by the three relations $c^2=\frac{E_0}{m}$, $τ^2=mC$ and $r^2=CE_0$. For each kinematical Lie algebra, we express the associated physical quantities in function of these dynamical parameters.
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