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author | Andreas Müller <andreas.mueller@ost.ch> | 2021-06-03 18:51:36 +0200 |
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committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-06-03 18:51:36 +0200 |
commit | 680e1e763b8d899b3601b5ab0cf6f1fc2a114e1d (patch) | |
tree | aff901d861b84c62e8eb2b7ff9981ae13a3f5baa /vorlesungen/slides/2/hilbertraum/energie.tex | |
parent | add slides (diff) | |
download | SeminarMatrizen-680e1e763b8d899b3601b5ab0cf6f1fc2a114e1d.tar.gz SeminarMatrizen-680e1e763b8d899b3601b5ab0cf6f1fc2a114e1d.zip |
phases
Diffstat (limited to 'vorlesungen/slides/2/hilbertraum/energie.tex')
-rw-r--r-- | vorlesungen/slides/2/hilbertraum/energie.tex | 17 |
1 files changed, 11 insertions, 6 deletions
diff --git a/vorlesungen/slides/2/hilbertraum/energie.tex b/vorlesungen/slides/2/hilbertraum/energie.tex index 7868cb4..202a7c5 100644 --- a/vorlesungen/slides/2/hilbertraum/energie.tex +++ b/vorlesungen/slides/2/hilbertraum/energie.tex @@ -11,6 +11,7 @@ \vspace{-20pt} \begin{columns}[t,onlytextwidth] \begin{column}{0.30\textwidth} +\uncover<2->{% \begin{block}{Totale Energie} Hamilton-Funktion \begin{align*} @@ -21,7 +22,8 @@ H &= \frac{p^2}{2m} + V(x) \end{align*} -\end{block} +\end{block}} +\uncover<3->{% \begin{block}{Quantisierungsregel} \begin{align*} \text{Variable}&\to \text{Operator} @@ -30,22 +32,25 @@ x_k & \to x_k \\ p_k & \to \frac{\hbar}{i} \frac{\partial}{\partial x_k} \end{align*} -\end{block} +\end{block}} \end{column} \begin{column}{0.66\textwidth} +\uncover<4->{% \begin{block}{Energie-Operator} \[ H = -\frac{\hbar^2}{2m}\Delta + V(x) \] -\end{block} +\end{block}} +\uncover<5->{% \begin{block}{Eigenwertgleichung} \[ -\frac{\hbar^2}{2m}\Delta\psi(x,t) + V(x)\psi(x,t) = E\psi(x,t) \] Zeitunabhängige Schrödingergleichung -\end{block} +\end{block}} +\uncover<6->{% \begin{block}{Zeitabhängigkeit = Schrödingergleichung} \[ -\frac{\hbar}{i} @@ -54,8 +59,8 @@ Zeitunabhängige Schrödingergleichung = -\frac{\hbar^2}{2m}\Delta\psi(x,t) + V(x)\psi(x,t) \] -Eigenwertgleichung durch Separation von $t$ -\end{block} +\uncover<7->{Eigenwertgleichung durch Separation von $t$} +\end{block}} \end{column} \end{columns} \end{frame} |