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Display information for equation id:math.1781.8 on revision:1781

* Page found: Streuamplitude und Streuquerschnitt (eq math.1781.8)

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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 {\ }})

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MathML (2.724 KB / 560 B) :

limr>Ψ(+)(r¯)=eik¯r¯2m2eikr4πrd3r ´eikr¯ ´e¯rV(r¯ ´)Ψ(+)(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"><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mo>lim</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo stretchy="false"></mo><mo>&gt;</mo><mi mathvariant="normal"></mi></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><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"></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>π</mi><mi>r</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><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false"></mo><mi>i</mi><mi>k</mi><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><msub><mover><mi>e</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub></mrow></mrow></msup><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>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>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">)</mo></mstyle></mrow></math>

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Identifiers

  • r
  • Ψ
  • r¯
  • e
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  • k¯
  • r¯
  • m
  • e
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  • r
  • π
  • r
  • r
  •  ´
  • e
  • i
  • k
  • r¯
  •  ´
  • e¯r
  • V
  • r¯
  •  ´
  • Ψ
  • r¯
  •  ´

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