# Hamiltonian question

by Maybe_Memorie
Tags: hamiltonian
 P: 266 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$\dot{}xdot$12 + 1/2m2$\dot{}xdot$22 + B12$\dot{}xdot$1x2 + B21$\dot{}xdot$1x1 - U(x1, x2) Explain why equations of motion do not depend on the symmetric part of Bij. 2. Relevant equations 3. The attempt at a solution No problem finding the Hamiltonian and the e.o.m. The last part is the problem. All I can think of is that the symmetric part is diagonalised to become the mass, since in general for a lagrangian you have L = 1/2 aij(q)$^{}qdot$2

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