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Display information for equation id:math.1609.35 on revision:1609

* Page found: Eigenschaften eindimensionaler stationärer Zustände (eq math.1609.35)

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Eigenschaften eindimensionaler stationärer Zustände Eq: math.1609.35

Hash: ddfca8d8ae0ca1e4ea4af5454e074bb3

TeX (original user input):

\begin{align}
& \left( {{\phi }_{E}}\acute{\ }z-{{\phi }_{E}}z\acute{\ } \right)\left. {} \right|_{-\infty }^{{{x}_{0}}}={{\phi }_{E}}\acute{\ }({{x}_{0}})z({{x}_{0}})-{{\phi }_{E}}({{x}_{0}})z\acute{\ }({{x}_{0}})-{{\phi }_{E}}\acute{\ }(-\infty )z(-\infty )+{{\phi }_{E}}(-\infty )z\acute{\ }(-\infty ) \\
& {{\phi }_{E}}({{x}_{0}})={{\phi }_{E}}\acute{\ }(-\infty )=0 \\
& \Rightarrow \left( {{\phi }_{E}}\acute{\ }z-{{\phi }_{E}}z\acute{\ } \right)\left. {} \right|_{-\infty }^{{{x}_{0}}}={{\phi }_{E}}\acute{\ }({{x}_{0}})z({{x}_{0}}) \\
\end{align}

TeX (checked):

{\begin{aligned}&\left({{\phi }_{E}}{\acute {\ }}z-{{\phi }_{E}}z{\acute {\ }}\right)\left.{}\right|_{-\infty }^{{x}_{0}}={{\phi }_{E}}{\acute {\ }}({{x}_{0}})z({{x}_{0}})-{{\phi }_{E}}({{x}_{0}})z{\acute {\ }}({{x}_{0}})-{{\phi }_{E}}{\acute {\ }}(-\infty )z(-\infty )+{{\phi }_{E}}(-\infty )z{\acute {\ }}(-\infty )\\&{{\phi }_{E}}({{x}_{0}})={{\phi }_{E}}{\acute {\ }}(-\infty )=0\\&\Rightarrow \left({{\phi }_{E}}{\acute {\ }}z-{{\phi }_{E}}z{\acute {\ }}\right)\left.{}\right|_{-\infty }^{{x}_{0}}={{\phi }_{E}}{\acute {\ }}({{x}_{0}})z({{x}_{0}})\\\end{aligned}}

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\begin{aligned} (ϕ_{E} \overset{´}{} z - ϕ_{E} z \overset{´}{}) |_{- \infty}^{x_{0}} = ϕ_{E} \overset{´}{} (x_{0}) z (x_{0}) - ϕ_{E} (x_{0}) z \overset{´}{} (x_{0}) - ϕ_{E} \overset{´}{} (- \infty) z (- \infty) + ϕ_{E} (- \infty) z \overset{´}{} (- \infty) \\ ϕ_{E} (x_{0}) = ϕ_{E} \overset{´}{} (- \infty) = 0 \\ \Rightarrow (ϕ_{E} \overset{´}{} z - ϕ_{E} z \overset{´}{}) |_{- \infty}^{x_{0}} = ϕ_{E} \overset{´}{} (x_{0}) z (x_{0}) \end{aligned}

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Identifiers

$ϕ_{E}$

$\overset{´}{}$

$z$

$ϕ_{E}$

$z$

$\overset{´}{}$

$x_{0}$

$ϕ_{E}$

$\overset{´}{}$

$x_{0}$

$z$

$x_{0}$

$ϕ_{E}$

$x_{0}$

$z$

$\overset{´}{}$

$x_{0}$

$ϕ_{E}$

$\overset{´}{}$

$z$

$ϕ_{E}$

$z$

$\overset{´}{}$

$ϕ_{E}$

$x_{0}$

$ϕ_{E}$

$\overset{´}{}$

$ϕ_{E}$

$\overset{´}{}$

$z$

$ϕ_{E}$

$z$

$\overset{´}{}$

$x_{0}$

$ϕ_{E}$

$\overset{´}{}$

$x_{0}$

$z$

$x_{0}$

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