I Frank Condon factors in molecules

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Hello! I am reading about laser cooling, and I see people talking about the Frank Condon factors. It seems to be just a vibrational overlap integral, but I found different definitions in terms of whether is just the integral or its square (the difference is huge, so it should matter). What is the convention in the molecular physics field?
 
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Can you give examples from the literature you’re reading? I’ve only ever seen the square, because that’s what ends up in the Fermi golden rule calculation.
 
Hi. I have got question as in title. How can idea of instantaneous dipole moment for atoms like, for example hydrogen be consistent with idea of orbitals? At my level of knowledge London dispersion forces are derived taking into account Bohr model of atom. But we know today that this model is not correct. If it would be correct I understand that at each time electron is at some point at radius at some angle and there is dipole moment at this time from nucleus to electron at orbit. But how...

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