标题： 复合作用概率作为量子力学中决定论的表达 显示英文标题

标题： Complex joint probabilities as expressions of determinism in quantum mechanics

摘要： 量子态的密度算符可以表示为任何两个可观测量的复数联合概率，这些可观测量的本征态具有非零的相互重叠。 然后，到新基集的变换是用描述三个不同可观测量之间基本关系的复数条件概率来表达的。 由于这些变换仅仅是改变量子态的表示方式，这些条件概率提供了一种与状态无关的定义，说明了不同量子测量结果之间的确定性关系。 在本文中，展示了经典现实如何作为量子确定性基本定律的近似而出现，这些定律由复数条件概率表达。 识别了相空间和轨迹的量子力学起源，并考虑了对量子测量解释的影响。 认为量子确定性的变换定律提供了对经验现实的测量依赖性的基本描述。 显示英文摘要

摘要： The density operator of a quantum state can be represented as a complex joint probability of any two observables whose eigenstates have non-zero mutual overlap. Transformations to a new basis set are then expressed in terms of complex conditional probabilities that describe the fundamental relation between precise statements about the three different observables. Since such transformations merely change the representation of the quantum state, these conditional probabilities provide a state-independent definition of the deterministic relation between the outcomes of different quantum measurements. In this paper, it is shown how classical reality emerges as an approximation to the fundamental laws of quantum determinism expressed by complex conditional probabilities. The quantum mechanical origin of phase spaces and trajectories is identified and implications for the interpretation of quantum measurements are considered. It is argued that the transformation laws of quantum determinism provide a fundamental description of the measurement dependence of empirical reality.