论文标题
庞加莱群的不可还原两粒子表示的结构特性
Structural Properties of Irreducible Two-Particle Representations of the Poincaré Group
论文作者
论文摘要
由庞加莱群的不可还原的两粒子表示描述的两个粒子与Casimir操作员的恒定物强加在状态空间上的约束相关。该相关性可以理解为几何引起的粒子之间的相互作用，其强度与两粒子状态的归一化$ω$相关，$4π\，ω^2 $。发现$4π\，ω^2 $的数值与电磁细胞结构常数$α$相匹配。这强烈表明，在庞加莱组不可约的两粒子表示中，两个颗粒的相关性在电磁相互作用中表现出来。
Two particles, described by an irreducible two-particle representation of the Poincaré group, are correlated by the constraints that the constancy of the Casimir operators imposes on the state space. This correlation can be understood as a geometrically caused interaction between the particles, the strength of which is related to the normalisation constant $ω$ of the two-particle states by $4π\,ω^2$. The numerical value of $4π\,ω^2$ is found to match the experimental value of the electromagnetic fine structure constant $α$. This strongly suggests that the correlation of two particles in an irreducible two-particle representation of the Poincaré group manifests itself in the electromagnetic interaction.
