Probability of superposition of states

lavster
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hi could someone please verify that my calculated probability for superposition of states is correct (i derived it myself from a simpler equation) where \Psi=c1\psi1 e^{-iE1t}+c2\psi2 e^{-iE2t} and \psi_i, c_i \in \mathbb{R}


<br /> |\Psi|^2=(c_1\psi_1)^2+(c_2\psi_2)^2+2Re[c_1c_2\psi_1\psi_2e^{i(E2-E1)t}]<br />

thanks!
 
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It seems correct but it could be simplified a bit more...
 
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