Berry's phase as the asymptotic limit of an exact evolution: an example
- 1 January 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (2) , L95-L98
- https://doi.org/10.1088/0305-4470/21/2/006
Abstract
The authors exhibit, for arbitrary time variations of the parameters of the generalised harmonic oscillator Hamiltonian, a canonical transformation which facilitates an exact analysis of quantal phase and classical angle. Formulae for Berry's phase and Hannay's angle are readily obtained by taking the adiabatic limit of the exact theory.Keywords
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