Distance Formula for Grassmann Manifold --Applied to Anandan--Aharonov Type Uncertainty Relation--
arXiv:hep-th/9410227 · doi:10.1143/PTP.93.255
Abstract
The time-energy uncertainty relation of Anandan-Aharonov is generalized to a relation involving a set of quantum state vectors. This is achieved by obtaining an explicit formula for the distance between two finitely separated points in the Grassmann manifold.
25pages, LaTex file , TOYAMA-80, KANAZAWA-94-21