Aktuelle Version vom 16. September 2010, 23:00 Uhr

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]

@@ Zeile 1: / Zeile 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]]