Phys. Rev. D 35, 2398–2406 (1987)Classical adiabatic holonomy and its canonical structureReceived 15 December 1986; published in the issue dated 15 April 1987 In this paper we introduce some mathematical tools to further study the classical adiabatic holo- nomy effect known as Hannay’s angle. In particular, we prove with purely classical methods that the area (or angle) two-form associated with this effect can be seen as a modification of the symplectic structure of the slow-variable dynamics. We also show that, as in the quantum case, degeneracies cause singularities in this two-form. We conclude with some considerations concerning the triviality or nontriviality of the phase-space bundle associated with this phenomenon. © 1987 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.35.2398
DOI:
10.1103/PhysRevD.35.2398
PACS:
11.15.Kc, 03.20.+i, 03.65.Bz
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