1. The problem statement, all variables and given/known data "A wave function is given by Aexp[(-x2)/(2L2)] with an energy of E = h-bar2/2mL2. Assuming this is a solution to the time-independent Schroedinger equation, a) What is V(x)? Make an accurate sketch of V vs. x with labeled axes b) What sort of classical potential has this form? 2. Relevant equations The Schroedinger time-independent equation: -(h-bar2/2m) * d2Psi/dx2 + V * Psi = E * Psi 3. The attempt at a solution I know that to solve this problem, I have to integrate the original Psi function twice in order to plug it into the Schroedinger equation. Or normalize it, in order to plug it into the equation. E also has to be determined, but I'm not sure how to go about that or what value of n to use. Basically, my biggest problem is my lack of ability to successfully integrate the psi equation and knowing how to go about figuring out E. Could someone help me, please?