So I got a hold of my prof who advised to do <\phi | \phi_1>... and that "worked" in that it gave me an answer... now my new question is: if I do this for \phi_1, \phi_2, \phi_3, ..., I get answers that sum to >1. Should I be normalizing these somehow? Or are some energy transitions "forbidden" ?
Homework Statement
A particle is initially in the ground state of a one-dimensional infinite square well extending from x=0 to x = L/2. Its wave function, correctly normalized, is given by \psi (x) = \dfrac{2}{\sqrt{L}} \sin{(\dfrac{2 \pi x}{L})}} for 0 \leq x \leq L/2
Suddenly, the right hand...