1. The problem statement, all variables and given/known data Why is it important for a wave function to be normalized? Is an unnormalized wave function a solution to the schrodinger equation? 2. Relevant equations ∫ ψ^2 dx=1 (from neg infinity to infinity) 3. The attempt at a solution So I know normalization simply means that the sum of all dx is equal to 1 and the squared function is know as the probabily density so it gives that you can find a particle with 100% certainty and this is why it is important. Is this correct? I am not sure on the second part because when a wave is not normalized we cant know with 100% probability where a particle is appeasing the uncertainty priciple which, I would guess the normalized version would not. I rememeber my instuctor saying something about it being a solution if it satisfys the conservation of energy and de broglies hypothesis or something to that effect so yes I would assume an unormalized wave would pass the test. Is this correct?