Quantum Mechanics: Concepts and Applications · Problem 5.36

Three-Dimensional Problems — Nouredine Zettili

Physics — Quantum Mechanics · angular-momentum-commutator-identity

Problem

Show that [J^xJ^y, J^z]+[J^x, J^yJ^z]=iℏ(J^x2−2J^y2+J^z2)[\hat{J}_x\hat{J}_y,\ \hat{J}_z] + [\hat{J}_x,\ \hat{J}_y\hat{J}_z] = i\hbar\left(\hat{J}_x^2 - 2\hat{J}_y^2 + \hat{J}_z^2\right).

Related theory

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