– PhysikWiki

General

Display information for equation id:math.1783.8 on revision:1783

* Page found: Streuamplitude und Streuquerschnitt (eq math.1783.8)

Occurrences on the following pages:

Streuamplitude und Streuquerschnitt Eq: math.1783.8

Hash: 12954a41e8f6e0014d4259aecd14c803

TeX (original user input):

\begin{matrix}
   \lim   \\
   r->\infty   \\
\end{matrix}{{\Psi }^{(+)}}(\bar{r})={{e}^{i\bar{k}\bar{r}}}-\frac{2m}{{{\hbar }^{2}}}\frac{{{e}^{ikr}}}{4\pi r}\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }}{{e}^{-ik\bar{r}\acute{\ }{{{\bar{e}}}_{r}}}}V(\bar{r}\acute{\ }){{\Psi }^{(+)}}(\bar{r}\acute{\ })

TeX (checked):

{\begin{matrix}\lim \\r->\infty \\\end{matrix}}{{\Psi }^{(+)}}({\bar {r}})={{e}^{i{\bar {k}}{\bar {r}}}}-{\frac {2m}{{\hbar }^{2}}}{\frac {{e}^{ikr}}{4\pi r}}\int _{}^{}{{{d}^{3}}r{\acute {\ }}}{{e}^{-ik{\bar {r}}{\acute {\ }}{{\bar {e}}_{r}}}}V({\bar {r}}{\acute {\ }}){{\Psi }^{(+)}}({\bar {r}}{\acute {\ }})

LaTeXML (experimentell; verwendet MathML) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :

MathML (experimentell; keine Bilder) rendering

MathML (3.5 KB / 557 B) :

\begin{matrix} \lim \\ r - > \infty \end{matrix} Ψ^{(+)} (\bar{r}) = e^{i \bar{k} \bar{r}} - \frac{2 m}{ℏ^{2}} \frac{e^{i k r}}{4 π r} \int_{}^{} d^{3} r \overset{´}{} e^{- i k \bar{r} \overset{´}{} {\bar{e}}_{r}} V (\bar{r} \overset{´}{}) Ψ^{(+)} (\bar{r} \overset{´}{})

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>lim</mi></mtd></mtr><mtr><mtd><mi>r</mi><mo>&#x2212;</mo><mo>&gt;</mo><mi mathvariant="normal">&#x221E;</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><msup><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mo>+</mo><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow></msup><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">&#x210F;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi><mi>r</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi><mi>r</mi></mrow></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>i</mi><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>e</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mrow></mrow></msup><mi>V</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo stretchy="false">)</mo><msup><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mo>+</mo><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

$r$

$Ψ$

$\bar{r}$

$e$

$i$

$\bar{k}$

$\bar{r}$

$m$

$e$

$i$

$k$

$r$

$π$

$r$

$r$

$\overset{´}{}$

$e$

$i$

$k$

$\bar{r}$

$\overset{´}{}$

${\bar{e}}_{r}$

$V$

$\bar{r}$

$\overset{´}{}$

$Ψ$

$\bar{r}$

$\overset{´}{}$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

General

LaTeXML (experimentell; verwendet MathML) rendering

MathML (experimentell; keine Bilder) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigationsmenü

General

LaTeXML (experimentell; verwendet MathML) rendering

MathML (experimentell; keine Bilder) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigationsmenü

Suche