论文标题
相对论旋转操作员必须是固有的
Relativistic spin operator must be intrinsic
论文作者
论文摘要
尽管有许多相对论旋转可观察物的建议,但对该数量的适当定义尚无共识。这个问题源于以下事实:在当前文献中,关于这种操作员应该满足的属性尚无共识。在这里,我们提出了如何通过强加一个每个人都应该同意相对论旋转的性质的条件来克服这个问题的方法:它必须是内在的。内在性概念在相对论的经典限制中进行了分析,然后扩展到量子状态,旋转问题在庞加莱集团的不可还原统一表示的背景下进行处理。该方法排除了可观察的相对论旋转的三个矢量建议,并导致独特的令人满意的旋转定义,除了具有内在的固有性外,还具有有趣的物理特征,例如协方差和在非相对论极限中预测的一致性。为了从操作的角度支持所提出的结果,还提出了电磁旋转相互作用的一致观察者独立的模型。
Although there are many proposals of relativistic spin observables, there is no agreement about the adequate definition of this quantity. This problem arises from the fact that, in the present literature, there is no consensus concerning the set of properties that such an operator should satisfy. Here we present how to overcome this problem by imposing a condition that everyone should agree about the nature of the relativistic spin observable: it must be intrinsic. The intrinsicality concept is analyzed in the relativistic classical limit and then it is extended to the quantum regime, the spin problem being treated in the context of the irreducible unitary representations of the Poincaré group. This approach rules out three-vector proposals of relativistic spin observable and leads to a unique satisfactory spin definition that, besides being intrinsic, also possesses interesting physical features such as covariance and consistency of predictions in the non relativistic limit. To support the presented results from an operational perspective, a consistent observer-independent model for the electromagnetic-spin interaction is also presented.