Hamiltonian question

  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
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