Why the electron orbit is a integer multiple of De Broglie wavelength?

[jaumzaum]

I cannot understand why the electron orbit should be an integer multiple of De Broglie wavelength. Why should the wave path "fit" the electron orbit for it to be stationary?

 

[CharlesFrancis]

When you say "electron path", and "orbit", I suspect you are thinking in thinking in terms of the Bohr atom, but the Bohr atom with an orbiting electron is no longer considered a good description. To solve the Schrödinger equation, we are looking for a stable electron state, or eigenstate. Orbits are not a part of this picture.

 

[harrylin]

I cannot understand why the electron orbit should be an integer multiple of De Broglie wavelength. Why should the wave path "fit" the electron orbit for it to be stationary?

If I correctly understood his concepts, the electron has wave nature, and for a stable situation it should be in phase with itself around the nucleus. See also :
http://hyperphysics.phy-astr.gsu.edu/hbase/debrog.html#c2
http://hyperphysics.phy-astr.gsu.edu/hbase/bohr.html#c5