Quantum Mechanics Using Consistent Histories

这项数学物理资助将使用“一致性历史”方法来解决一些与量子力学系统特性有关的长期问题。首先，该方法将应用于量子力学与热力学第二定律中体现的统计不可逆性的关系。然后，它将被用来阐明一系列悖论，在这些悖论中，量子力学预测违反贝尔不等式或现实、局部性等常识性概念。对各种量子力学历史的一致性的研究将指出各种概念问题的根源在哪里。

This grant in mathematical physics will use the "consistent-history" approach to resolve some longstanding problems relating to the properties of a quantum mechanical system. First, the approach will be applied to the relation of quantum mechanics to the statistical irreversibility embodied in the second law of thermodynamics. Then it will be used to illuminate a collection of paradoxes in which quantum mechanics predicts violations of either Bell's inequality or common-sense notions of reality, locality and the like. A study of the consistency of various quantum mechanical histories will indicate where the sources of various conceptual problems are.