Comment #42 on issue 1816 by ronan.l...@gmail.com: Adding partial derivatives and taking derivatives with respect to functions
http://code.google.com/p/sympy/issues/detail?id=1816
Brian: The Hamiltonian is a constant for any specific trajectory of the system, but it's not a constant over the whole state-space. If you take 2 trajectories defined by 2 different sets of initial conditions, they have the same Hamiltonian but different energies. The fact that you have some relation along some specific curve in state-space doesn't determine the derivatives of the Hamiltonian wrt the state-space coordinates.
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