Explore BrainMass

Explore BrainMass

    Noether's theorem

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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 December 24, 2021, 5:12 pm ad1c9bdddf

    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 = ...