Bewegungsgleichung: Difference between revisions
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=Quantenmechanik= | =Quantenmechanik= | ||
<math>\begin{align} | :<math>\begin{align} | ||
& \breve{A}=\frac{i}{\hbar }\left[ \hat{H},\hat{A} \right]+{{\partial }_{t}}\hat{A} \\ | & \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 | & \left\langle \breve{A} \right\rangle :={{d}_{t}}\langle \hat{A} \rangle | ||
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Sei | Sei | ||
<math>{{\partial }_{t}}\hat{A}=0</math> | :<math>{{\partial }_{t}}\hat{A}=0</math> | ||
dann gilt im Heisenbergbild die Heisenbergesche Bewegungsgleichung | dann gilt im Heisenbergbild die Heisenbergesche Bewegungsgleichung | ||
<math>{{d}_{t}}\hat{A}=\breve{A}=\frac{i}{\hbar }\left[ \hat{H},\hat{A} \right]</math> | :<math>{{d}_{t}}\hat{A}=\breve{A}=\frac{i}{\hbar }\left[ \hat{H},\hat{A} \right]</math> | ||