Latest revision as of 23:00, 16 September 2010

Quantenmechanik[edit | edit source]

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

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=
-vergleich mit [[fundamentale Poissionklammern]]
-<math>\left\{ {{q}_{k}},{{p}_{l}} \right\}={{\delta }_{kl}}</math>
-<math>\left\{ {{q}_{k}},{{q}_{l}} \right\}=\left\{ {{p}_{k}},{{p}_{l}} \right\}=0</math>
+:<math>\begin{align}
+  & \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{align}</math>
-wird zu
+Sei
+:<math>{{\partial }_{t}}\hat{A}=0</math>
-<math>\begin{align}
+dann gilt im Heisenbergbild die Heisenbergesche Bewegungsgleichung
-  & \left[ {{q}_{k}},{{p}_{l}} \right]=\mathfrak{i} \hbar {{\delta }_{kl}} \\
- & \left[ {{q}_{k}},{{q}_{l}} \right]=\left[ {{p}_{k}},{{p}_{l}} \right]=0
-\end{align}</math>
-[[Category::Quantenmechanik]]
+:<math>{{d}_{t}}\hat{A}=\breve{A}=\frac{i}{\hbar }\left[ \hat{H},\hat{A} \right]</math>
+[[Kategorie:Theoretische Physik]]