Where can I find a reference which explains clearly when and how a constant of motion in a hamiltonian dynamical system reduces the number of degrees of freedom?
I am looking for something not very abstract.
2026-03-28 15:46:10.1774712770
Reference: Reduction of degrees of freedom in hamiltonian mechanics
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I am not sure what level of "not abstract" you are looking for but I found this set of lecture notes very helpful as an introduction and for basic understanding. Section 2.7 onwards in it discusses constants of motion.
The classical references would be Abraham and Marsden (Foundations of Mechanics) and Marsden and Ratiu (Introduction to Mechanics and Symmetry).