Nonintegrable Phases and Nonlocality in Physics

这个项目解决了关于“几何”相(Berry相)的理论考虑，如果在系统的哈密顿量的参数空间中跟踪闭合路径，量子系统的状态就会改变。在过去的两三年里，这一直是一个活跃的领域。这个项目将试图研究Berry相与电磁和引力相之间的相关性，并研究相互作用系统的情况。这项理论工作可能会导致进一步的实验测试。由于位相差产生的量子干涉效应在某些情况下具有实际应用价值，因此这种应用最终有可能是这项工作的结果，但不可能立即得到应用。

This project addresses theoretical considerations regarding a "geometrical" phase (Berry's phase) by which the state of a quantum system changes if a closed path is traced in the space of parameters of the Hamiltonians of the system. This has been an active area for the past two or three years. This project will attempt to investigate the relativity between Berry's phase and electromagnetic and gravitational phases and to study the case of interacting systems. This theoretical work could lead to further experimental tests. Since quantum interference effects from phase differ- ences have, in some cases, practical application, it is pos- sible that such application could eventually result from this work, but no immediate applications can be foreseen.