Generalized Ehrenfest Theorem

#Physics

$\displaystyle \frac{ \mathrm{d}{\left\langle{\hat{Q}}\right\rangle} }{ \mathrm{d}t }=\frac{i}{\hbar}{\left\langle{[\hat{H},\hat{Q}]}\right\rangle}+{\left\langle{\frac{ \mathrm{d}\hat{Q} }{ \mathrm{d}t }}\right\rangle}$

• Change in time of a quantum operator is determined on whether it's compatible with $\displaystyle \hat{H}$