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

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

2010-08-08

arxiv.org/abs/1008.1379v1

Physics

Classical Physics

7 pages, 3 figures

Scientific paper

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 oscillating coordinate. Numerous examples, including charged particle drifts and relativistic motion, are supplied to illustrate the varied application of these results.

Affiliated with

Also associated with

No associations

Rating

Wheels within wheels: Hamiltonian dynamics as a hierarchy of action variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wheels within wheels: Hamiltonian dynamics as a hierarchy of action variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wheels within wheels: Hamiltonian dynamics as a hierarchy of action variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-313163