Introduction to Quantum Mechanics · Problem 4.26

Quantum Mechanics in Three Dimensions — David J. Griffiths

Physics — Quantum Mechanics · raising_operator_spherical_harmonics

Problem

In Problem 4.4 you showed that Y21(θ,ϕ)=−15/8π sin⁡θcos⁡θ eiϕ.Y_2^1(\theta, \phi) = -\sqrt{15/8\pi}\, \sin\theta \cos\theta\, e^{i\phi}. Apply the raising operator to find Y22(θ,ϕ)Y_2^2(\theta, \phi). Use Equation 4.121 to get the normalization.

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