Quantum Mechanics Using Consistent Histories

这项研究的目的是通过仔细研究控制正确量子推理的原理来阐明量子理论的概念基础。一个特别的焦点将是决定量子历史（即连续时间的一系列量子事件）是否具有物理意义的规则。以前的工作需要放在一个一致的数学和逻辑框架中，这将使学生更容易学习这门学科，并有助于将量子理论应用于新的领域，如量子计算和现代原子物理学中的各种问题。众所周知，量子理论的预测违反了一个被称为贝尔不等式的数学条件。发生这种情况的情况将被研究，看看是否违反点（如许多物理学家所坚持的）存在于自然界中神秘的远程力，或者它是否仅仅表明贝尔不等式的推导不符合健全量子推理的规则。

The aim of this research is to clarify the conceptual foundations of quantum theory through a careful study of the principles which govern correct quantum reasoning. A particular focus will be the rules which determine whether or not a quantum history--that is, a series of quantum events at successive times- -makes physical sense. Previous work needs to be put into a consistent mathematical and logical framework that will make it easier for students to learn the subject, and aid in applying quantum theory to new fields, such as quantum computation and various problems in modern atomic physics. It is well known that the predictions of quantum theory violate a mathematical condition known as Bell's inequality. Situations where this occurs will be studied to see whether the violation points (as many physicists maintain) to the presence of mysterious long- range forces in nature, or whether it simply indicates that derivations of Bell's inequality do not conform to the rules for sound quantum reasoning.