论文标题
扩展的de Broglie-Bohm-Bell量子力学中的旋转和上下文性
Spin and Contextuality in Extended de Broglie-Bohm-Bell Quantum Mechanics
论文作者
论文摘要
本文介绍了量子力学的de broglie-bohm-bell公式的扩展，其中包括固有的自由度，例如自旋，如现实的元素。为了逃避从Kochen-Specker定理的约束，离散的自旋值是指特定的基础 - 即，每个粒子的单个自旋矢量取向；但是，这些旋转方向不是预定的，而是动态的，而是由系统的（降低，仅旋转）波函数的指导，这是在实现的粒子的实现位置值的条件下。这样，波动的不可避免的上下文性是由波函数及其实现的粒子构型提供的，而自旋仍表示为单个颗粒的局部特性。此外，该公式还具有严格的离散时间随机动力学，允许对具有纠缠旋转的粒子系统进行数值模拟，例如BOHM的EPR实验版本。
This paper introduces an extension of the de Broglie-Bohm-Bell formulation of quantum mechanics, which includes intrinsic particle degrees of freedom, such as spin, as elements of reality. To evade constraints from the Kochen-Specker theorem the discrete spin values refer to a specific basis -- i.e., a single spin vector orientation for each particle; these spin orientations are, however, not predetermined, but dynamic and guided by the (reduced, spin-only) wave function of the system, which is conditional on the realized location values of the particles. In this way, the unavoidable contextuality of spin is provided by the wave function and its realized particle configuration, whereas spin is still expressed as a local property of the individual particles. This formulation, which furthermore features a rigorous discrete-time stochastic dynamics, allows for numerical simulations of particle systems with entangled spin, such as Bohm's version of the EPR experiment.
