Quantum Mechanics: Concepts and Applications · Problem 7.2

Rotations and Addition of Angular Momenta — Nouredine Zettili

Physics — Quantum Mechanics · clebsch-gordan-dimension-proof

Problem

Starting from

\sum_{j=j_{min}}^{j_{max}}(2j+1) = (2j_1+1)(2j_2+1)

, prove that

j_{min} = |j_1 - j_2|