Proving time independence of energy eigenstates

[Gnator]

Homework Statement

We are ask to find the probability density of psi(x,t). I know that psi have an exp term but i don't understand how by squaring psi make the exp term disappear.

Homework Equations

Psi = sqrt(2/L)sin(n*pi*x / L)e^(-2*pi* i(E/h)t

The Attempt at a Solution

I attempted changing the exp term into polar coord but I can't seem to get anywhere with that.

 

[Dick]

You don't square psi. You multiply it by it's complex conjugate. Makes all the difference.

 

[Gnator]

Yes, I just read my text and I discover you are suppose to multiple the complex conjugate. Thank you.