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arXiv quant-ph/0204155quant-ph
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两个运动惯性系中自旋测量的Einstein-Podolsky-Rosen关联

Einstein-Podolsky-Rosen Correlations of Spin Measurements in Two Moving Inertial Frames

Jakub Rembielinski, Kordian Andrzej Smolinski

摘要:

在绝对同步框架下的洛伦兹协变量子力学中,导出了两个运动惯性系中两个粒子自旋测量的关联函数公式。本文的结果是在物理上可接受的条件下,在运动标架中Lorentz协变量子力学系统的第一个精确的Einstein-Podolsky-Rosen关联函数,考虑到探测过程中粒子的局域化,在洛仑兹群的作用下,使用具有适当变换性质的自旋算符。给出了计算的关联函数的一些特殊情况和近似值。由此产生的关联函数可以作为一个基础的建议,一个决定性的实验可能存在的量子力学的首选框架。

英文摘要:

The formula for the correlation function of spin measurements of two particles in two moving inertial frames is derived within Lorentz-covariant quantum-mechanics formulated in the absolute synchronization framework. The results are the first exact Einstein-Podolsky-Rosen correlation functions obtained for Lorentz-covariant quantum-mechanical system in moving frames under physically acceptable conditions, i.e., taking into account the localization of the particles during the detection and using the spin opeartor with proper transformation properties under the action of the Lorentz group. Some special cases and approximations of the calculated correlation function are given. The resulting correlation function can be used as a basis for a proposal of a decisive experiment for a possible existence of a quantum-mechanical preferred frame.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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