spins_unit_schrodinger_time_evolution.ppt Pages 1-5
(note) The Schrodinger Equation is hard for them at this phase - seeing a differential equation, time dependence, operators and dirac notation all in one place is a bit of a whack in the head… This topic needs to be treated carefully. I tried to choose the important points to spend time on, but this probably needs some student activities to help them grasp the calculations.
Introduce the Schrodinger Equation using Dirac notation
Propose a solution for a time dependent basis set where the dependence lives in the coefficients, based on the fact we know that stationary energy eigenstates can be found from Hamiltonian operators
The students may find the argument easier in the continuous limit - I showed it to them both ways.