A Modern Approach to Quantum Mechanics · Problem 5.7

Wave Mechanics in One Dimension — John S. Townsend

Physics — Quantum Mechanics · three-spin-half-states-j-three-halves

Problem

Determine the four states with

s = \frac{3}{2}

that can be formed by three spin-

\frac{1}{2}

particles. Suggestion: Start with the state

|\frac{3}{2}, \frac{3}{2}\rangle

and apply the lowering operator as in (5.36).