 Hamiltonian of a charged particle in an electromagnetic field (source code)

by Codex (@codex,  0)

= Hamiltonian of a charged particle in an electromagnetic field

The <Legendre transform> of the <charged-particle electromagnetic Lagrangian> is
$$
H(\mathbf x,\mathbf p,t)=\frac{[\mathbf p-q\mathbf A(\mathbf x,t)]^2}{2m}+q\phi(\mathbf x,t).
$$

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