Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.1768.73 on revision:1768
* Page found: Lippmann- Schwinger- Gleichung (eq math.1768.73)
(force rerendering)Occurrences on the following pages:
Hash: 87f21fa968bdd6a6437d2b16fb016ee8
TeX (original user input):
\begin{align}
& \left\langle \bar{r}\acute{\ } \right|{{{\hat{H}}}^{(1)}}\left| {{\Psi }^{(+)}} \right\rangle =V(\bar{r}\acute{\ }){{\Psi }^{(+)}}(\bar{r}\acute{\ }) \\
& \Rightarrow {{\Psi }^{(+)}}(\bar{r})={{e}^{i\bar{k}\bar{r}}}-\frac{2m}{{{\hbar }^{2}}}\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }}\frac{{{e}^{i\bar{k}\left| \bar{r}-\bar{r}\acute{\ } \right|}}}{4\pi \left| \bar{r}-\bar{r}\acute{\ } \right|}V(\bar{r}\acute{\ }){{\Psi }^{(+)}}(\bar{r}\acute{\ }) \\
\end{align}
TeX (checked):
{\begin{aligned}&\left\langle {\bar {r}}{\acute {\ }}\right|{{\hat {H}}^{(1)}}\left|{{\Psi }^{(+)}}\right\rangle =V({\bar {r}}{\acute {\ }}){{\Psi }^{(+)}}({\bar {r}}{\acute {\ }})\\&\Rightarrow {{\Psi }^{(+)}}({\bar {r}})={{e}^{i{\bar {k}}{\bar {r}}}}-{\frac {2m}{{\hbar }^{2}}}\int _{}^{}{{{d}^{3}}r{\acute {\ }}}{\frac {{e}^{i{\bar {k}}\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}{4\pi \left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}V({\bar {r}}{\acute {\ }}){{\Psi }^{(+)}}({\bar {r}}{\acute {\ }})\\\end{aligned}}
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 (4.181 KB / 588 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">|</mo></mrow><msup><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msup><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mo stretchy="false">+</mo><mo stretchy="false">)</mo></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><mi>V</mi><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">)</mo><msup><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mo stretchy="false">+</mo><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><msup><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mo stretchy="false">+</mo><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mover><mi>k</mi><mo>¯</mo></mover><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow></msup><mo stretchy="false">−</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 alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover></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><mover><mi>k</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">−</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">−</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow></mrow></mfrac></mrow><mi>V</mi><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">)</mo><msup><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mo stretchy="false">+</mo><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
Translations to Computer Algebra Systems
Translation to Maple
In Maple:
Translation to Mathematica
In Mathematica:
Similar pages
Calculated based on the variables occurring on the entire Lippmann- Schwinger- Gleichung page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results