Introduction to Quantum Mechanics · Problem 6.4

Symmetries and Conservation Laws — David J. Griffiths

Physics — Quantum Mechanics · operator_transformations

Problem

Prove Equation 6.8. You may assume that Q(x^,p^)Q(\hat{x}, \hat{p}) can be written in a power series Q^(x^,p^)=∑m=0∞∑n=0∞amnx^mp^n\hat{Q}(\hat{x}, \hat{p}) = \sum_{m=0}^{\infty} \sum_{n=0}^{\infty} a_{mn} \hat{x}^m \hat{p}^n for some constants amna_{mn}.

Browse the problem library