Geometric angles in cyclic evolutions of a classical system
- 1 November 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (9), 4389-4394
- https://doi.org/10.1103/physreva.38.4389
Abstract
A perturbative method, using Lie transforms, is given for calculating the Hannay angle for slow, cyclic evolutions of a classical system, taking into account the finite rate of change of the Hamiltonian. The method is applied to the generalized harmonic oscillator. The classical Aharonov-Anandan angle is also calculated. The interpretational ambiguity in the definitions of geometrical angles is discussed. DOI: http://dx.doi.org/10.1103/PhysRevA.38.4389 © 1988 The American Physical SocietyKeywords
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