论文标题
随机de Broglie-bohm-bell量子力学中的量子平衡
Quantum Equilibrium in Stochastic de Broglie-Bohm-Bell Quantum Mechanics
论文作者
论文摘要
本文研究了量子力学的随机de broglie-bohm-bell公式中的量子平衡的动态松弛。时间依赖性的概率分布被计算为Markov过程中具有缓慢变化的过渡矩阵的过程。数值模拟，并得到了（缓慢变化）过渡矩阵的序列的较大时间行为的确切结果的支持，确认了先前的发现，表明de broglie-bohm-bell动力学使任意初始概率分布可以放松至量子平衡；即，无需做出临时假设，即粒子位置的初始分布必须与系统初始波函数规定的初始概率分布相同。此外，本文介绍的结果表明，贝尔的配方的本质随机性质是在基本离散的时空上最自然的，这足以确保动态放松以对大型量子系统的量子平衡，而无需在该制定中引入粗graining或任何其他修饰。
This paper investigates dynamical relaxation to quantum equilibrium in the stochastic de Broglie-Bohm-Bell formulation of quantum mechanics. The time-dependent probability distributions are computed as in a Markov process with slowly varying transition matrices. Numerical simulations, supported by exact results for the large-time behavior of sequences of (slowly varying) transition matrices, confirm previous findings that indicate that de Broglie-Bohm-Bell dynamics allows an arbitrary initial probability distribution to relax to quantum equilibrium; i.e., there is no need to make the ad-hoc assumption that the initial distribution of particle locations has to be identical to the initial probability distribution prescribed by the system's initial wave function. The results presented in this paper moreover suggest that the intrinsically stochastic nature of Bell's formulation, which is arguable most naturally formulated on an underlying discrete space-time, is sufficient to ensure dynamical relaxation to quantum equilibrium for a large class of quantum systems without the need to introduce coarse-graining or any other modification in the formulation.
