SWBQ: Write down the Schrodinger Equation
SWBQ: What is the Hamiltonian for a 2D box with different side lengths?
Refresher on separation of variables–show most of the steps but go quickly, emphasize what separable means as a product of functions.
SWBQ: What is the solution to the time equation? (Students should cheat!)
Quick group activity: one half of the room solve X, the other solve Y, don't remind them of the boundary conditions until they struggle
Talk about what the boundary conditions are, why they make sense, and what effect they have on the solutions