Symmetries and dynamics in constrained systems
Mathematical Physics
2009-05-29 v2 math.MP
Abstract
We review in detail the Hamiltonian dynamics for constrained systems. Emphasis is put on the total Hamiltonian system rather than on the extended Hamiltonian system. We provide a systematic analysis of (global and local) symmetries in total Hamiltonian systems. In particular, in analogue to total Hamiltonians, we introduce the notion of total Noether charges. Grassmannian degrees of freedom are also addressed in details.
Cite
@article{arxiv.0902.4754,
title = {Symmetries and dynamics in constrained systems},
author = {Xavier Bekaert and Jeong-Hyuck Park},
journal= {arXiv preprint arXiv:0902.4754},
year = {2009}
}
Comments
1+97 pages, No figure, Expanded version of a lecture note by J.-H. Park at Sogang University, Seoul during 2007-2008. Accepted for publication in the European Physical Journal C as a review article; Reference added