Distance Formula for Grassmann Manifold --Applied to Anandan--Aharonov Type Uncertainty Relation--
High Energy Physics - Theory
2010-11-01 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9410227,
title = {Distance Formula for Grassmann Manifold --Applied to Anandan--Aharonov Type Uncertainty Relation--},
author = {Minoru Hirayama and Takeshi Hamada and Jin Chen},
journal= {arXiv preprint arXiv:hep-th/9410227},
year = {2010}
}
Comments
25pages, LaTex file , TOYAMA-80, KANAZAWA-94-21