A Modern Approach to Quantum Mechanics · Problem 3.1

Angular Momentum — John S. Townsend

Physics — Quantum Mechanics · commutator-identities

Problem

Verify the commutator identity [A^,B^C^]=B^[A^,C^]+[A^,B^]C^[\hat{A}, \hat{B}\hat{C}] = \hat{B}[\hat{A}, \hat{C}] + [\hat{A}, \hat{B}]\hat{C} and its analogue [A^B^,C^]=A^[B^,C^]+[A^,C^]B^[\hat{A}\hat{B}, \hat{C}] = \hat{A}[\hat{B}, \hat{C}] + [\hat{A}, \hat{C}]\hat{B}.

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