Proving time independence of energy eigenstates

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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.
 
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You don't square psi. You multiply it by it's complex conjugate. Makes all the difference.
 
Yes, I just read my text and I discover you are suppose to multiple the complex conjugate. Thank you.
 

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