Momentum Maps and Hamiltonian Reduction

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The use of the symmetries of a physical system in the study of its dynamics has a long history that goes back to the founders of c1assical mechanics. Symmetry-based tech- niques are often implemented by using the integrals 01 motion that one can sometimes associate to these symmetries. The integrals of motion of a dynamical system are quan- tities that are conserved along the fiow of that system. In c1assieal mechanics symme- tries are usually induced by point transformations, that is, they come exc1usively from symmetries ...

Momentum Maps and Hamiltonian Reduction 2013, Birkhauser

ISBN-13: 9781475738131

Trade paperback

Momentum Maps and Hamiltonian Reduction 2003, Birkhauser, Boston, MA

ISBN-13: 9780817643072

2004 edition