Suppose that you have the Lagrangian L = 1 (;² + ở´n² ) + 420 for a 2D 20 system in plane polar coordinates (r, 0). Determine the Hamiltonian.
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Hamiltonian of the system is given by
Where L = Lagrangian of the system, pq = Conjugate momenta corresponding to canonical variable q
Conjugate momenta are given by
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