Answer to Question #101020 in Quantum Mechanics for SAHIL

Question

[L²,Lz]=0 .
What is the significance of this commutation relation.

Answer 1

The significance of that commutation relation is that it lets us to find simultaneous eigenfunctions of $\vec{L^2}$ and the z-component of $\vec{L}$. It means that we can determine the magnitude and z-component of the angular momentum.