Non-standard connections in classical mechanics

Details Non-standard connections in classical mechanics Non-standard connections in classical mechanics

1995-03-02

arxiv.org/abs/dg-ga/9503001v1

J.Phys. A28 (1995) 5553-5567

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex file

Scientific paper

10.1088/0305-4470/28/19/011

In the jet-bundle description of first-order classical field theories there are some elements, such as the lagrangian energy and the construction of the hamiltonian formalism, which require the prior choice of a connection. Bearing these facts in mind, we analyze the situation in the jet-bundle description of time-dependent classical mechanics. So we prove that this connection-dependence also occurs in this case, although it is usually hidden by the use of the ``natural'' connection given by the trivial bundle structure of the phase spaces in consideration. However, we also prove that this dependence is dynamically irrelevant, except where the dynamical variation of the energy is concerned. In addition, the relationship between first integrals and connections is shown for a large enough class of lagrangians.

Affiliated with

Also associated with

No associations

Rating

Non-standard connections in classical mechanics 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 Non-standard connections in classical mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-standard connections in classical mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-172037