Bewegungsgleichung: Unterschied zwischen den Versionen
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=Quantenmechanik= | =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} \\ | ||
& \left\langle {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{A}} \right\rangle :={{d}_{t}}\left\langle {\hat{A}} \right\rangle | & \left\langle {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{A}} \right\rangle :={{d}_{t}}\left\langle {\hat{A}} \right\rangle | ||
\end{align}</math> | \end{align}</math> | ||
Sei | Sei | ||
Version vom 19. Juli 2009, 19:48 Uhr
Quantenmechanik
Fehler beim Parsen (Unbekannte Funktion „\lower“): {\displaystyle \begin{align} & \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{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}}\left\langle {\hat{A}} \right\rangle \end{align}}
Sei
dann gilt im Heisenbergbild die Heisenbergesche Bewegungsgleichung
![{\displaystyle {{d}_{t}}{\hat {A}}={\breve {A}}={\frac {i}{\hbar }}\left[{\hat {H}},{\hat {A}}\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f5794c640c390320bec316c14fab108ec80adf04)