Quantum Mechanics: Concepts and Applications · Problem 5.2

Angular Momentum — Nouredine Zettili

Physics — Quantum Mechanics · angular-momentum-commutators

Problem

Calculate [J^x2,J^y][\hat{J}_x^2, \hat{J}_y], [J^z2,J^y][\hat{J}_z^2, \hat{J}_y], and [J^2,J^y][\hat{J}^2, \hat{J}_y]; then show ⟨j,m∣J^x2∣j,m⟩=⟨j,m∣J^y2∣j,m⟩\langle j, m \mid \hat{J}_x^2 \mid j, m \rangle = \langle j, m \mid \hat{J}_y^2 \mid j, m \rangle.

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