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arXiv quant-ph/0302026quant-ph
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Einstein-Podolsky-Rosen关联与伽利略变换

Einstein-Podolsky-Rosen correlations and Galilean transformations

P. Caban, J. Rembielinski, K. A. Smolinski, Z. Walczak

摘要:

本文在非相对论量子力学框架下详细计算了Einstein-Podolsky-Rosen自旋关联。我们考虑以下情况:准备好两粒子态(我们分别考虑可区分和相同的粒子,并考虑波函数的空间部分),两个观察者在相对运动中测量粒子沿给定方向的自旋分量。测量在有界空间区域(探测器)中进行,不一定同时进行。得到的关联函数不仅依赖于自旋测量的方向,而且依赖于观测者的相对速度。

英文摘要:

In this paper we calculate with full details Einstein-Podolsky-Rosen spin correlations in the framework of nonrelativistic quantum mechanics. We consider the following situation: two-particle state is prepared (we consider separately distinguishable and identical particles and take into account the space part of the wave function) and two observers in relative motion measure the spin component of the particle along given directions. The measurements are performed in bounded regions of space (detectors), not necessarily simultaneously. The resulting correlation function depends not only on the directions of spin measurements but also on the relative velocity of the observers.

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