Probability of superposition of states

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SUMMARY

The discussion centers on the calculation of the probability for superposition of states in quantum mechanics, specifically using the wave function \Psi defined as \Psi=c1\psi1 e^{-iE1t}+c2\psi2 e^{-iE2t}. The derived probability density is expressed as |\Psi|^2=(c_1\psi_1)^2+(c_2\psi_2)^2+2Re[c_1c_2\psi_1\psi_2e^{i(E2-E1)t}]. The calculation is confirmed as correct, with suggestions for further simplification, indicating a solid understanding of quantum state superposition.

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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 [itex]\Psi=c1\psi1 e^{-iE1t}+c2\psi2 e^{-iE2t}[/itex] and [itex]\psi_i, c_i \in \mathbb{R}[/itex]


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

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

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