论文标题

在适当的定位时间

On a proper-time approach to localization

论文作者

Taillebois, E. R. F., Avelar, A. T.

论文摘要

有关Hegerfeldt悖论以及相对论量子系统的本地化的因果关系问题是通过单粒子操作员的适当形式主义来解决的。所提出的描述不取决于连接到外部观察者的经典参数,并导致单粒子形式主义,其中通过与系统的适当时间参数参数相关的显式协方差的四矢量运算符来描述定位。结果,表明身体上可接受的状态必然与时间不确定性的存在相关,并且其适当的时间进化不受Hegerfeldt预测的因果关系的影响。

The causality issues concerning Hegerfeldt's paradox and the localization of relativistic quantum systems are addressed through a proper-time formalism of single-particle operators. The proposed description does not depend on classical parameters connected to an external observer and results in a single-particle formalism in which localization is described by explicitly covariant four-vector operators associated with POVM measurements parametrized by the system's proper-time. As a consequence, it is shown that physically acceptable states are necessarily associated with the existence of a temporal uncertainty and their proper-time evolution is not subject to the causality violation predicted by Hegerfeldt.

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