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

2) Evaluate the following commutators:a) [L · S, L], b) [L · S, S], c) [L · S, J], d) [L · S, L^2], e) [L · S, S^2], f) [L · S, J^2] (6)where, L and S satisfy the fundamental commutation relations for angular momentum, butthey commute with each other.