无信号和不可知的Bohmian粒子位置
No Signalling and Unknowable Bohmian Particle Positions
摘要：
我们展示了一个模型与简单的动力学，特别是一个粒子在一个正方形的盒子或两个粒子在一维的盒子，如果一个实验者可以准备一个系统的初始波函数，最大的信息的位置Bohmian粒子是兼容的“无信号”是，他们是根据$|ψ(x)|^2$分布。特别地，位置不能独立于波函数来准备。粒子的任何更尖锐的“实际”位置必须是不可接近的，因为它可以用来瞬间发送信号。这是玻姆动力学定律的非局部性质的结果。
英文摘要：
We exhibit in a model with simple dynamics, specifically a particle in a square box or two particles in one dimensional boxes, that if an experimenter can prepare the initial wave function of a system, the maximal information about the positions of Bohmian particles that is compatible with "no signalling" is that they are distributed according to $|ψ(x)|^2$. In particular, the positions cannot be prepared independently from the wave function. Any sharper "actual" position of the particle must be inaccessible since it could be used to send signals instantaneously. This is a consequence of the non-local character of the Bohmian dynamical law.
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