(6-2)  Our starting point now is:

①  Use the classical definitions of momentum and kinetic energy, to define momentum in terms of Ek and mass. Then substitute this expression into your answer from ①.

②  Rewrite the resulting equation in terms of E and V.

③  Now you’ve effectively arrived at the Schrödinger equation (congratulations, by the way). However the iconic (and useful) form of the equation is  Ĥψ =  Eψ.   Here Ĥ is an operator (called the Hamiltonian operator) which does its thing to the wavefunction, to regenerate the wavefunction multiplied by a key property associated with it – in this case, its energy. Time to put the equation into this form.