If we have a Lagrangian density $\mathcal{L}$ for a scalar field $\phi$ depending on $\phi$, $\partial _{\mu} \phi$, and $\partial _{\mu} \partial _{\nu} \phi$, what is the Hamiltonian? Additionally, what do Hamilton's equations become?
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Possible duplicate: https://physics.stackexchange.com/q/382402/2451 – Qmechanic Dec 29 '18 at 17:34