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[vorlesung] rechenfehler gefixt

This commit is contained in:
Oliver Groß 2008-07-08 12:48:38 +02:00
parent 4a73f0dc3d
commit 5eead8bc42
1 changed files with 2 additions and 2 deletions
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kapII-5.tex
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@ -224,8 +224,8 @@ daraus ergibt sich
\begin{align}
\frac{1}{\sqrt{2}} \left( \hat{x} + i\hat{p} \right) \ket{0} &= \zero &\left| \bra{x} \right.\\
\dirac{x}{\hat{x} + i\hat{p}}{0} &= 0\\
x + i(-i) \diffPs{x} \phi_0(x) &= 0 &\left(\text{denn: } \dirac{x}{\hat{p}}{\psi} = -i \hbar \diffPs{x} \psi(x) \right)\\
\rightarrow \left(x - \diffPs{x} \right) \phi_0(x) &= 0\\
\left(x + i(-i) \diffPs{x}\right) \phi_0(x) &= 0 &\left(\text{denn: } \dirac{x}{\hat{p}}{\psi} = -i \hbar \diffPs{x} \psi(x) \right)\\
\rightarrow \left(x + \diffPs{x} \right) \phi_0(x) &= 0\\
\phi_0(x) &= c \cdot e^{-\frac{x^2}{2}}
\end{align}
Normierung: