Geometric angles in cyclic evolutions of a classical system

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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.

Original languageEnglish (US)
Pages (from-to)4389-4394
Number of pages6
JournalPhysical Review A
Volume38
Issue number9
DOIs
StatePublished - Jan 1 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

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