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Quantum Mechanics in Three Dimensions — David J. Griffiths
Physics — Quantum Mechanics · clebsch_gordan_general
Problem (a) Work out the Clebsch–Gordan coefficients for the case s 1 = 1 / 2 s_1 = 1/2 s 1 = 1/2 s 2 = s_2 = s 2 = A A A B B B ∣ s m ⟩ = A ∣ 1 2 s 2 1 2 ( m − 1 2 ) ⟩ + B ∣ 1 2 s 2 − 1 2 ( m + 1 2 ) ⟩ |s\,m\rangle = A\left|\frac{1}{2}\,s_2\,\frac{1}{2}\left(m - \frac{1}{2}\right)\right\rangle + B\left|\frac{1}{2}\,s_2\,\frac{-1}{2}\left(m + \frac{1}{2}\right)\right\rangle ∣ s m ⟩ = A 2 1 s 2 2 1 ( m − 2 1 ) ⟩ + B 2 1 s 2 2 − 1 ( m + 2 1 ) ⟩ Browse the problem library