Latest revision as of 22:00, 16 September 2010

Quantenmechanik[edit | edit source]

\begin{aligned} \overset{˘}{A} = \frac{i}{ℏ} [\hat{H}, \hat{A}] + \partial_{t} \hat{A} \\ ⟨ \overset{˘}{A} ⟩ : = d_{t} ⟨ \hat{A} ⟩ \end{aligned}

Sei

\partial_{t} \hat{A} = 0

dann gilt im Heisenbergbild die Heisenbergesche Bewegungsgleichung

d_{t} \hat{A} = \overset{˘}{A} = \frac{i}{ℏ} [\hat{H}, \hat{A}]

@@ Line 1: / Line 1: @@
 =Quantenmechanik=
-<math>\begin{align}
+:<math>\begin{align}
-   & \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{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 {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{A}} \right\rangle :={{d}_{t}}\hat{A}
+  & \left\langle \breve{A} \right\rangle :={{d}_{t}}\langle \hat{A} \rangle
 \end{align}</math>
 Sei
-<math>{{\partial }_{t}}\hat{A}=0</math>
+:<math>{{\partial }_{t}}\hat{A}=0</math>
 dann gilt im Heisenbergbild die Heisenbergesche Bewegungsgleichung
-<math>{{d}_{t}}\hat{A}=\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{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>
+[[Kategorie:Theoretische Physik]]