Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1790.4 on revision:1790

* Page found: Bornsche Näherung (eq math.1790.4)

(force rerendering)

Occurrences on the following pages:

Hash: 41b0a99aab58adc2b1db2e110c24592e

TeX (original user input):

\begin{align}

& {{\Psi }^{(+)}}(\bar{r})={{\Psi }_{e}}(\bar{r})+\frac{2m}{{{\hbar }^{2}}}\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }}{{G}_{+}}(\bar{r}-\bar{r}\acute{\ })V(\bar{r}\acute{\ }){{\Psi }_{e}}(\bar{r}\acute{\ }) \\

& {{\Psi }_{e}}(\bar{r})={{e}^{i\bar{k}\bar{r}}} \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\Psi }^{(+)}}({\bar {r}})={{\Psi }_{e}}({\bar {r}})+{\frac {2m}{{\hbar }^{2}}}\int _{}^{}{{{d}^{3}}r{\acute {\ }}}{{G}_{+}}({\bar {r}}-{\bar {r}}{\acute {\ }})V({\bar {r}}{\acute {\ }}){{\Psi }_{e}}({\bar {r}}{\acute {\ }})\\&{{\Psi }_{e}}({\bar {r}})={{e}^{i{\bar {k}}{\bar {r}}}}\\\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 (2.601 KB / 499 B) :

Ψ(+)(r¯)=Ψe(r¯)+2m2d3r ´G+(r¯r¯ ´)V(r¯ ´)Ψe(r¯ ´)Ψe(r¯)=eik¯r¯
<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"><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><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><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"></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>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mrow><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">+</mo></mrow></msub><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">)</mo><mi>V</mi><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">)</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</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"><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><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></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 Bornsche Näherung page

Identifiers

  • Ψ
  • r¯
  • Ψe
  • r¯
  • m
  • r
  •  ´
  • G+
  • r¯
  • r¯
  •  ´
  • V
  • r¯
  •  ´
  • Ψe
  • r¯
  •  ´
  • Ψe
  • r¯
  • e
  • i
  • k¯
  • r¯

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results