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Display information for equation id:math.1790.5 on revision:1790

* Page found: Bornsche Näherung (eq math.1790.5)

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Hash: c1b73940b234436bc6e5cca09600dc91

TeX (original user input):

\begin{align}

& f({{{\bar{e}}}_{r}})=-\frac{2m}{{{\hbar }^{2}}}\frac{1}{4\pi }\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }}V(\bar{r}\acute{\ }){{e}^{i\bar{K}\bar{r}\acute{\ }}} \\

& \bar{K}:=\bar{k}-\bar{k}{{{\bar{e}}}_{r}} \\

\end{align}

TeX (checked):

{\begin{aligned}&f({{\bar {e}}_{r}})=-{\frac {2m}{{\hbar }^{2}}}{\frac {1}{4\pi }}\int _{}^{}{{{d}^{3}}r{\acute {\ }}}V({\bar {r}}{\acute {\ }}){{e}^{i{\bar {K}}{\bar {r}}{\acute {\ }}}}\\&{\bar {K}}:={\bar {k}}-{\bar {k}}{{\bar {e}}_{r}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (2.11 KB / 486 B) :

f(e¯r)=2m214πd3r ´V(r¯ ´)eiK¯r¯ ´K¯:=k¯k¯e¯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"><mi>f</mi><mo stretchy="false">(</mo><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">)</mo><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><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi></mrow></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><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><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><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>K</mi><mo>¯</mo></mover><mo stretchy="false">:=</mo><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>k</mi><mo>¯</mo></mover><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Bornsche Näherung page

Identifiers

  • f
  • e¯r
  • m
  • π
  • r
  •  ´
  • V
  • r¯
  •  ´
  • e
  • i
  • K¯
  • r¯
  •  ´
  • K¯
  • k¯
  • k¯
  • e¯r

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