Symmetries and dynamics in constrained systems

Details Symmetries and dynamics in constrained systems Symmetries and dynamics in constrained systems

2009-02-27

arxiv.org/abs/0902.4754v2

Eur.Phys.J.C61:141-183,2009

Physics

Mathematical Physics

1+97 pages, No figure, Expanded version of a lecture note by J.-H. Park at Sogang University, Seoul during 2007-2008. Accepted

Scientific paper

10.1140/epjc/s10052-009-0973-7

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.

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