Some geometrical considerations of Berry’s phase
- 15 April 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 35 (8), 2597-2600
- https://doi.org/10.1103/physrevd.35.2597
Abstract
A group-theoretic treatment is given of the new phase found by Berry in the adiabatic evolution of a quantum-mechanical system in a finite-dimensional Hilbert space. It is shown how the Berry phases for the various eigenstates of the Hamiltonian are obtained from a set of angles associated with a group element. For the special case of a two-level system there is just one such angle which corresponds to the holonomy transformation associated with parallel transport around a closed curve on a sphere.Keywords
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