Day 396: Angular Momentum Eigenvalue Spectrum

Learning Objectives

• •Derive the complete eigenvalue spectrum of L̂² and L̂ᵤ
• •Prove that l must be integer or half-integer
• •Understand why orbital angular momentum requires integer l
• •Calculate the degeneracy (2l+1) for each l value
• •Construct the complete basis {|l,m⟩}

Today's Schedule (7 hours)