1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Hamiltonian question

  1. Jan 17, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the Hamiltonian and Hamilton's equations of motion for a system with two degrees of
    freedom with the following Lagrangian

    L = 1/2m1[itex]\dot{}xdot[/itex]12 + 1/2m2[itex]\dot{}xdot[/itex]22 + B12[itex]\dot{}xdot[/itex]1x2 + B21[itex]\dot{}xdot[/itex]1x1 - U(x1, x2)

    Explain why equations of motion do not depend on the symmetric part of Bij.

    2. Relevant equations

    3. The attempt at a solution

    No problem finding the Hamiltonian and the e.o.m. The last part is the problem. All I can think of is that the symmetric part is diagonalised to become the mass, since in general for a lagrangian you have L = 1/2 aij(q)[itex]^{}qdot[/itex]2
    Last edited: Jan 17, 2012
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?