Principles of Quantum Mechanics · Problem 15.2.3

Addition of Angular Momenta — R. Shankar

Physics — Quantum Mechanics · addition-angular-momenta-three-spin-half

Problem

Argue that

\frac{1}{2}\otimes\frac{1}{2}\otimes\frac{1}{2} = \frac{3}{2}\oplus\frac{1}{2}\oplus\frac{1}{2}