Dimensional Reduction for Generalized Poisson Brackets

Details Dimensional Reduction for Generalized Poisson Brackets Dimensional Reduction for Generalized Poisson Brackets

2007-03-22

arxiv.org/abs/math-ph/0703069v1

J.Math.Phys.49:022903,2008

Physics

Mathematical Physics

14 pages

Scientific paper

10.1063/1.2863440

We discuss dimensional reduction for Hamiltonian systems which possess
nonconstant Poisson brackets between pairs of coordinates and between pairs of
momenta. The associated Jacobi identities imply that the dimensionally reduced
brackets are always constant. Some examples are given alongside the general
theory.

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