# Infinitely deep potential well

1. Jun 23, 2015

### Firben

1. The problem statement, all variables and given/known data

The wave function for a particle in a infinitely deep potential well is at some point in time Φ(x) = Nx(a-x). In which probability gives the energy measurment a another value than E1 ,etc ground state

2. Relevant equations

1 = |cn|^2 = |<Φn|Ψ>|^2 (1)

3. The attempt at a solution

If Ψn(x) = sqrt(2/a)sin(n*(pi)*x/a) be the eigenfunction and put it into (1) and integrate. Is this right method im doing ?

2. Jun 23, 2015

### blue_leaf77

What are you asked to do in this problem? Initially I supposed you have to calculate the expansion coefficient, but equation (1) indicate that it's equal to unity (which is not correct either). Is it the N in $\Phi(x)$ that is asked? In that case simply use the requirement of normalization.