Hamiltonian Mechanics on Duals of Generalized Lie Algebroids

Details Hamiltonian Mechanics on Duals of Generalized Lie Algebroids Hamiltonian Mechanics on Duals of Generalized Lie Algebroids

2011-08-25

arxiv.org/abs/1108.5050v1

Physics

Mathematical Physics

36 p, arXiv admin note: largely contained in arXiv:1007.1541

Scientific paper

A new description, different by the classical theory of Hamiltonian Mechanics, in the general framework of generalized Lie algebroids is presented. In the particular case of Lie algebroids, new and important results are obtained. We present the \emph{dual mechanical systems} called by use, \emph{dual mechanical}$(\rho,\eta) $\emph{-systems, Hamilton mechanical}$(\rho,\eta) $\emph{-systems} or \emph{% Cartan mechanical}$(\rho,\eta) $\emph{-systems.} and we develop their geometries. We obtain the canonical $(\rho,\eta) $\emph{-}semi(spray) associated to a dual mechanical $(\rho,\eta) $-system. The Hamilton mechanical $(\rho,\eta)$-systems are the spaces necessary to develop a Hamiltonian formalism. We obtain the $(\rho,\eta)$-semispray associated to a regular Hamiltonian $H$ and external force $F_{e}$ and we derive the equations of Hamilton-Jacobi type.

Affiliated with

Also associated with

No associations

Rating

Hamiltonian Mechanics on Duals of Generalized Lie Algebroids 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 Hamiltonian Mechanics on Duals of Generalized Lie Algebroids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamiltonian Mechanics on Duals of Generalized Lie Algebroids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-318954