Riemannian Structure Induced by Parameter-Dependent Quantum State Vectors

Minoru Hirayama, Takeshi Hamada · Progress of Theoretical Physics · 1994

The quantum distances introduced recently by Provost-Vallee, Berry and Anandan-Aharonov are formulated and generalized with the help of projection operators and their Hilbert-Schmidt norms. As an application, a time-energy uncertainty relation is discussed.

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