The Hamiltonian represents the total energy of the system, including both kinetic and potential energy.
In classical mechanics: H(p,x)=p22m+V(x)H(p, x) = \frac{p^2}{2m} + V(x)H(p,x)=2mp2+V(x)
In quantum mechanics:


The Hamiltonian represents the total energy of the system, including both kinetic and potential energy.
In classical mechanics: H(p,x)=p22m+V(x)H(p, x) = \frac{p^2}{2m} + V(x)H(p,x)=2mp2+V(x)
In quantum mechanics:

