Day 395: Ladder Operators for Angular Momentum

Learning Objectives

• •Define ladder operators L̂± = L̂ₓ ± iL̂ᵧ
• •Derive the commutation relations [L̂ᵤ, L̂±] = ±ℏL̂±
• •Express L̂² in terms of ladder operators
• •Determine the action of L̂± on eigenstates |l,m⟩
• •Prove the bounds on m: -l ≤ m ≤ l

Today's Schedule (7 hours)