A Modern Approach to Quantum Mechanics · Problem 3.8

Time Evolution — John S. Townsend

Physics — Quantum Mechanics · hermitian-operators

Problem

Show that the operator

\hat{C}

defined through

[\hat{A}, \hat{B}] = i\hat{C}

is Hermitian, provided the operators

\hat{A}

and

\hat{B}

are Hermitian.