Time dependent wave equation trouble!! 1. The problem statement, all variables and given/known data I'm having heaps of trouble getting my head around the time dependent wave function and the use of operators to find measurement/probabilities etc... I'm having trouble with something like the following, If have a 1D inf potential well with region -a <=x <= a , and at a certain time have the following wave function, ψ= √(5a) cos (∏x/2a) + 2.√(5a) sin (∏x/a) and you were asked to find the possible energy levels and their associated probabilities? 2. Relevant equations 3. The attempt at a solution As far as I know, can find energy levels by Hun=En.un using u1= √(5a) cos (∏x/2a) and u2 = 2.√(5a) sin (∏x/a) to find the two distinct energy levels, basically my question is, is this the correct way to do this? and perhaps I'm asking why? and then what has me really confused is finding thier associated probabilities... I feel it's supposed to be obvious/ easy but i really lack some understanding here.