Classical Adiabatic Holonomy and Its Canonical Structure
Dec 31, 198627 pages
Published in:
- Phys.Rev.D 35 (1987) 2398
Report number:
- MPI-PAE/PTh-67/86
Citations per year
Abstract: (APS)
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.- QUANTUM MECHANICS
- MECHANICS: CLASSICAL
- ALGEBRA: GRASSMANN
- MATHEMATICAL METHODS: FIBRE BUNDLE
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