Wheels within Wheels: Hamiltonian Dynamics as a Hierarchy of Action Variables

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Wheels within wheels: Hamiltonian dynamics as a hierarchy of action variables.

In systems where one coordinate undergoes periodic oscillation, the net displacement in any other coordinate over a single period is shown to be given by differentiation of the action integral associated with the oscillating coordinate. This result is then used to demonstrate that the action integral acts as a Hamiltonian for slow coordinates providing time is scaled to the "tick time" of the o...

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ژورنال

عنوان ژورنال: Physical Review Letters

سال: 2010

ISSN: 0031-9007,1079-7114

DOI: 10.1103/physrevlett.105.124301