20 citations · 20 across the 3 of their papers we have counts for
3 papers
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…
physics.class-ph2004★ 20 cited
Between Laws and Models: Some Philosophical Morals of Lagrangian Mechanics
Jeremy Butterfield
I extract some philosophical morals from some aspects of Lagrangian mechanics. (A companion paper will present similar morals from Hamiltonian mechanics and Hamilton-Jacobi theory.…