SOLVED:Using the angular momentum operators previously given, show that they satisfy commutation relations of the form [Lx, Ly] ≡Lx Ly-Ly Lx=i Lz and, hence, 𝐋 ×𝐋=i 𝐋 . These commutation relations will be taken later as the defining relations as an angular momentum operator - see Exercise 3.2.15 and the following one and Chapter 4 .

a) The fundamental commutation relations for orbital angular mo... | Filo

Referring to Table 4.1 for the operator expressions for angular momentum, show that [L̂x, L̂y]=i ħL̂z [L̂y, L̂z]=i ħL̂x and [L̂z, L̂x]=i ħL̂y (Do you see a pattern here to help remember these commutation relations?) What do these expressions say about the ability to measure the components of angular momentum simultaneously? | Numerade