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I happened to open up an old book by Sah, and in it he says:

"it is evident that the electron orbit radius is half the well radius at the energy level [itex]E_n[/itex]"

The orbit radius is [itex]r_n=\frac{4*\pi*ε_0*\hbar^2*n^2}{mq^2}[/itex] and the potential well [itex]V(r_n)=\frac{-q^4*m}{(4*\pi*ε_0)^2*\hbar^2*n^2}[/itex]

Of course the orbit radius has to be confined in the well, but it's not obvious to me why it should be exactly half the well radius? This isn't something I recall seeing before either.

Thanks

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# Hydrogen atom: potential well and orbit radii

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