Week 149: Orbital Angular Momentum

Learning Objectives

• •**Derive** the angular momentum commutation relations from first principles
• •**Prove** the eigenvalue spectrum of $L^2$ and $L_z$ using ladder operators
• •**Calculate** spherical harmonics for specific $l,m$ values
• •**Solve** the hydrogen atom eigenvalue problem completely
• •**Apply** angular momentum techniques to central potential problems
• •**Explain** orbital angular momentum concepts in oral exam format