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22 votes
5 answers
13k views

Why does electron orbital circumference have to be in multiples of de Broglie wavelengths?

Electron orbit circumferences have to be in multiples of its de Broglie wavelength, but what do those 2 have in common?
radial9174's user avatar
2 votes
3 answers
1k views

If Bohr model is outdated and we know that there is no such thing as an "electron orbital circumference" then how is $2\pi r=n\lambda$ still valid?

We know that Bohr model is outdated and we know that there is no such thing as an "electron orbital circumference" then how is $2\pi r=n\lambda$ still valid? Edit : If the electrons for higher ...
ami_ba's user avatar
  • 212
4 votes
2 answers
586 views

'Slow variation' in WKB approximation as precise mathematical condition

The WKB approximation provides an approximative solution to the one-dimensional, time-independent Schrödinger equation $$ -\frac{\hbar^{2}}{2m} \frac{d^{2}}{dx^{2}} \Psi(x) +V(x)\Psi(x)=E\Psi (x)$$ ...
user267839's user avatar
  • 1,555
0 votes
1 answer
330 views

Why do we rule out orbits with non-constructive interference for the atom? [duplicate]

It is said that de Broglie explained the quantization of Bohr's orbitals with the idea of the "matter wave" of the electron being forced to have orbits where it can interfere constructively ...
Marco Disce's user avatar