Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian

@article{Hannay1985AngleVH,
  title={Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian},
  author={J H Hannay},
  journal={Journal of Physics A},
  year={1985},
  volume={18},
  pages={221-230}
}
  • J. Hannay
  • Published 1 February 1985
  • Physics
  • Journal of Physics A
If an integrable classical Hamiltonian H describing bound motion depends on parameters which are changed very slowly then the adiabatic theorem states that the action variables I of the motion are conserved. Here the fate of the angle variables is analysed. Because of the unavoidable arbitrariness in their definition, angle variables belonging to distinct initial and final Hamiltonians cannot generally be compared. However, they can be compared if the Hamiltonian is taken on a closed excursion… 

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