Noether's theorem
Not what you're looking for? Search our solutions OR ask your own Custom question.
Translate Noether's theorem into Hamiltonian mechanics. That is, define a symmetry for Hamiltonian mechanics (by translating the Lagrangian-definition), and prove that symmetries give rise to conserved observables.
© BrainMass Inc. brainmass.com March 4, 2021, 6:12 pm ad1c9bdddfhttps://brainmass.com/physics/velocity/noether-s-theorem-34773
Solution Preview
Noether's theorem, in its original version, applies to theories described by a Lagrangian. There is also a version which applies to theories described by a Hamiltonian. Suppose there is a particle moving on a line with Lagrangian L(q,q'), where q is its position and q' = dq/dt is its velocity. The momentum of this particle is defined to be p = dL/dq'.
The force on it is defined to be F = ...
$2.49