Raman wavefunction

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Regarding Rayleigh and Raman scattering:

I'm trying to understand the implications of the Raman wavefunction, being time independent. It certainly makes the derivation of the resonance Raman cross-section simple, but I'm struggling to understand the role of the imaginary component, especially in bound states.

And can anyone help me figure out which electronic transition is responsible for atmospheric Rayleigh in molecular nitrogen? My intuitions say it's the B3Pi -> A3Sigma, but I've found no literature sources for that yet.

Any insight is appreciated.
 

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