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How do I set up this Legendre Transform for Hamiltonian
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[QUOTE="vela, post: 5461653, member: 221963"] Why don't you first identify what variables the Lagrangian and Hamiltonian depend on. Then you can identify which variable is being replaced by the another. Both the PDF and MathWorld are saying the same thing. I'm not sure why you think there's an inconsistency. As far as the sign of H goes, if you do the plain old Legendre transformation on the Lagrangian, you end up with a quantity that's equal to the negative of the total energy. We define H to be the negative of that quantity so we can identify it with the energy of the system rather than keeping the pesky negative sign around. [/QUOTE]
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How do I set up this Legendre Transform for Hamiltonian
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