Calculating % Contribution of nth Wavefunction in Potential Well

[Caldo120]

Homework Statement

What fraction (as a percentage) does the n=(2x2-1)th infinite potential well wavefunction contribute to the 'classical' initial wavefunction psi(x,t=0)=1/sqrt(L) ? (Why are the even n excluded?)

Homework Equations

psi(x,t=0) = 1 / sqrt(L)

The Attempt at a Solution

generally pretty dumbfounded with this, our lecturer hasn't went through a worked example and i can't find any related equations in my notes. Any help on the question would be greatly appreciated. I intend to ask my lecturer about it as well and the lack of related material. I think it may have something to do with Fourier series?

Thanks,

Calum

 

[sgd37]

use the coefficient equation if you know what that is. And what energy level is that exactly