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Also, Coulomb assume point charges. This means well localized. But within an atom, that picture fails.
it's a perfectly fine approximation to ignore radius of the proton.. and just because a particle is a point particle doesn't mean that the point has a well defined, localized position..
True. But then, what does it means that r in U?
you could just as well ask what does the x,y,z mean in *any* potential V(r) mean.. They are just the coordinates or the electron--whatever they may be..
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