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Well, let's see how such a field would work. The Hamiltonian equations are $$\frac{\mathrm d x_k}{\mathrm d t} = \frac{\partial H}{\partial p_k} \quad \frac{\mathrm d p_k}{\mathrm d t} = -\frac{\pa...
Answer
Well, let's see how such a field would work. The Hamiltonian equations are $$\frac{\mathrm d x_k}{\mathrm d t} = \frac{\partial H}{\partial p_k} \quad \frac{\mathrm d p_k}{\mathrm d t} = -\frac{\pa...