Hamiltonian question


by Maybe_Memorie
Tags: hamiltonian
Maybe_Memorie
Maybe_Memorie is offline
#1
Jan17-12, 04:13 PM
P: 275
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
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