Distance Formula for Grassmann Manifold --Applied to Anandan--Aharonov Type Uncertainty Relation--
Minoru Hirayama, Takeshi Hamada, Jin Chen
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.
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