The proof starts from two sets of equations: 1. Newton's second law (first year undergraduate) 2. Commutation relations in QM (2nd or 3rd year undergraduate)

The proof starts from two sets of equations: 1. Newton's second law (first year undergraduate) 2. Commutation relations in QM (2nd or 3rd year undergraduate) To make the desired connection, one must have seen Maxwell's Equations (which some first year undergraduate physics textbooks include). There is no need to assume graduate level physics; someone having done a B.Sc. in Physics should know more than enough to follow this derivation.