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On the other hand, I showed that a semiclassical picture provides a
reasonable justification for the harmonic oscillator model. I can't now
identify it, but I think I've heard of a theorem by Feynman that once
you've used quantum mechanics to get the charge distribution, you can then
do classical E&M with that charge distribution. In the model of the
hydrogen atom I discussed, the (crudely) uniform-density sphere of electron
charge comes from quantum mechanics, after which it's legitimate to do
simple classical E&M to see that the induced dipole moment is proportional
to the applied electric field.
Bruce