The geometric phase is generalized to a cyclic motion resulting from any one-parameter family of transformations in the Hilbert space. This is applied to the translation in one spatial dimension of the Bloch wave function. Physical meanings are given to the Fubini-Study metric on the projective Hilbert space, and a metric in the classical phase space is deduced as the classical limit of this quantum metric. © 1990.
CITATION STYLE
Anandan, J. (1990). Geometric phase for cyclic motions and the quantum state space metric. Physics Letters A, 147(1), 3–8. https://doi.org/10.1016/0375-9601(90)90003-7
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