[psychphysic]

I believe he also goes over the legendre transform which lets you move between Hamiltonian and Lagrangian mechanics.

Just occured to me that the above poster may believe that QM is Hamiltonian only and classical is Lagrangian only. That'd be a forgivable but fatal mistake to understanding the subject!

Hamilton Jacobi equation may also help them remember QM is distinctly less intrusive than classical mechanics.