Bewegungsgleichung

Quantenmechanik

${\begin{aligned}&{\breve {A}}={\frac {i}{\hbar }}\left[{\hat {H}},{\hat {A}}\right]+{{\partial }_{t}}{\hat {A}}\\&\left\langle {\breve {A}}\right\rangle :={{d}_{t}}\langle {\hat {A}}\rangle \end{aligned}}$

Sei

${{\partial }_{t}}{\hat {A}}=0$

dann gilt im Heisenbergbild die Heisenbergesche Bewegungsgleichung

${{d}_{t}}{\hat {A}}={\breve {A}}={\frac {i}{\hbar }}\left[{\hat {H}},{\hat {A}}\right]$