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physics.class-ph2005
On Symplectic Reduction in Classical Mechanics
Jeremy Butterfield
This paper expounds the modern theory of symplectic reduction in finite-dimensional Hamiltonian mechanics. This theory generalizes the well-known connection between continuous symm…
physics.class-ph2005
On Symmetry and Conserved Quantities in Classical Mechanics
Jeremy Butterfield
This paper expounds the relations between continuous symmetries and conserved quantities, i.e. Noether's ``first theorem'', in both the Lagrangian and Hamiltonian frameworks for cl…