Orbital Angular momentum| Space Quantization of Angular Momentum| Commutation Relation| Term Symbol

In this video I have discussed the following points:
Magnetic dipole moment
Larmor Precession and Larmor Frequency
Space Quantization Angular Momentum
commutation relation
It is explained by considering the concept-In one electron atom, the angular quantum number (l) determines the magnitude of the e-’s angular momentum. In the hydrogen atom (say) an electron is revolving about a nucleus is a minute current-loop and has a magnetic field. It thus behaves like a magnetic dipole, and thus having magnetic dipole moment. Orbital angular momentum L remains constant in magnitude, but its direction changes and it traces a cone around B such that the angle between L and B remains constant. According to the Heisenberg’s uncertainty principle, only L2 and its one component (Lx, Ly or Lz) can be measured simultaneously. This fact is expressed by saying that L2 commutes with one of its component, i.e., In the absence of external magnetic field all the orientations of the orbital angular momentum have equal probability to occur.

[@rajeevkrpundir3353]

Very nice explanation

[@SpectrumClassesbyDr.Sulaxna]

Thank you 🙏 so much

[@sanketpatil6711]

So in a line, it's like QM equations puts restrictions on where the L vector can align itself when an external magnetic field is applied (chosen to be z axis). So if at all initially L wasn't in one of these allowed oriented directions, it will precess and slowly orient itself in such a way that it is in one of the allowed space as given by Lz or theta. I hope i got this right

[@SpectrumClassesbyDr.Sulaxna]

@sanketpatil yes and the allowed states are in reference to applied external magnetic field, thanks for watching stay tuned

[@awanishk.sharma1679]

Very good explained

[@SpectrumClassesbyDr.Sulaxna]

Thank you 🙏