Quantum Mechanics: Concepts and Applications · Problem 7.12

Identical Particles — Nouredine Zettili

Physics — Quantum Mechanics · angular-momentum-rotation-transformation

Problem

(a) Show how

\hat{J}_x

\hat{J}_y

, and

\hat{J}_z

transform under a rotation of (finite) angle

\alpha

about the

x

-axis. (b) Using the results of part (a), determine how the angular momentum operator

\hat{J}

transforms under the rotation.