- #1
shallowbay
- 6
- 0
Hello,
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
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