Bell's Theorem and Locality in Space
Bell's Theorem and Locality in Space
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贝尔定理和空间局部性
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
I. Volovich
中科院分区：
文献类型：
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作者：
I. Volovich
贝尔定理指出，某些量子相关性不能用分离随机变量的经典相关性来表示。它被解释为局部性要求与量子力学的不相容。我们指出，在贝尔定理的证明中，波函数的空间部分实际上被忽略了。然而，这个空间部分对于量子系统局域性的考虑是至关重要的。实际上，空间部分导致了量子关联中的一个额外因素，因此贝尔定理的普通证明在这种情况下是失败的。给出了现实隐变量理论的一个定域准则。有人认为高斯波函数的量子力学预测可以与贝尔不等式相一致，因此在这种情况下恢复了爱因斯坦的局部实在论。
Bell's theorem states that some quantum correlations can not be represented by classical correlations of separated random variables. It has been interpreted as incompatibility of the requirement of locality with quantum mechanics. We point out that in fact the space part of the wave function was neglected in the proof of Bell's theorem. However this space part is crucial for considerations of property of locality of quantum system. Actually the space part leads to an extra factor in quantum correlations and as a result the ordinary proof of Bell's theorem fails in this case. We present a criterium of locality in a realist theory of hidden variables. It is argued that predictions of quantum mechanics for Gaussian wave functions can be consistent with Bell's inequalities and hence Einstein's local realism is restored in this case.