- #1
Gavroy
- 235
- 0
hi
i thought that if i try to derive the energy of an electron in a magnetic field, this could be done with the assumptions of the bohr model.
L=n h/(2π)
mv²/r=qvB => mvr=qBr²=>n h/(2π)=qBr²
E=p²/(2m)=q²B²r²/(2m)=n h/(2π)qB/(2m)
so i get the energy for the first level, but all transitions are wrong, as n=2,4,6 etc. should be forbidden, but i do not get this condition.
so my question is: why does this mistake appear?
i thought that if i try to derive the energy of an electron in a magnetic field, this could be done with the assumptions of the bohr model.
L=n h/(2π)
mv²/r=qvB => mvr=qBr²=>n h/(2π)=qBr²
E=p²/(2m)=q²B²r²/(2m)=n h/(2π)qB/(2m)
so i get the energy for the first level, but all transitions are wrong, as n=2,4,6 etc. should be forbidden, but i do not get this condition.
so my question is: why does this mistake appear?