Quantum Mechanics: Concepts and Applications · Problem 7.23

Identical Particles — Nouredine Zettili

Physics — Quantum Mechanics · clebsch-gordan-coefficients

Problem

Consider a spin 12\frac{1}{2} particle which has an orbital angular momentum l=1l = 1. Find all the Clebsch–Gordan coefficients involved in the addition of the orbital and spin angular momenta of this particle. Hint: The Clebsch–Gordan coefficient ⟨j1, j2; j1, (j2−j1)∣j1+j2, j2⟩\langle j_1,\,j_2;\,j_1,\,(j_2 - j_1)\mid j_1 + j_2,\,j_2\rangle is real and positive.

Related theory

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