(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

"A wave function is given by Aexp[(-x^{2})/(2L^{2})] with an energy of E = h-bar^{2}/2mL^{2}. 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-bar^{2}/2m) * d^{2}Psi/dx^{2}+ 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?

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# Finding V(x) of a given wave function?

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