– PhysikWiki

General

Display information for equation id:math.1796.25 on revision:1796

* Page found: Drehimpulsdarstellung und Streuphasen (eq math.1796.25)

Occurrences on the following pages:

Drehimpulsdarstellung und Streuphasen Eq: math.1796.25

Hash: 188119d4b6693c786b0640f28e35e1f2

TeX (original user input):

\begin{array}{*{35}{l}}

{} & {{\sigma }_{tot.}}=\int_{{}}^{{}}{d\Omega }{{\left| f(\vartheta ) \right|}^{2}}  \\
{} & auerdem  \\
{} & \int_{-1}^{1}{d\xi }{{P}_{l}}(\xi ){{P}_{l\overset{\acute{\ }}{\mathop{\ }}\,}}(\xi )=\frac{2}{2l+1}{{\delta }_{ll\overset{\acute{\ }}{\mathop{\ }}\,}}  \\
{} & \Rightarrow {{\sigma }_{tot.}}=\int_{{}}^{{}}{d\Omega }{{\left| f(\vartheta ) \right|}^{2}}=2\pi \sum\limits_{l=0}^{\infty }{\frac{2}{2l+1}{{\left| {{f}_{l}} \right|}^{2}}=:}\sum\limits_{l=0}^{\infty }{{}}{{\sigma }_{l}}  \\
\end{array}

TeX (checked):

{\begin{array}{*{35}{l}}{}&{{\sigma }_{tot.}}=\int _{}^{}{d\Omega }{{\left|f(\vartheta )\right|}^{2}}\\{}&auerdem\\{}&\int _{-1}^{1}{d\xi }{{P}_{l}}(\xi ){{P}_{l{\overset {\acute {\ }}{\mathop {\ } }}\,}}(\xi )={\frac {2}{2l+1}}{{\delta }_{ll{\overset {\acute {\ }}{\mathop {\ } }}\,}}\\{}&\Rightarrow {{\sigma }_{tot.}}=\int _{}^{}{d\Omega }{{\left|f(\vartheta )\right|}^{2}}=2\pi \sum \limits _{l=0}^{\infty }{{\frac {2}{2l+1}}{{\left|{{f}_{l}}\right|}^{2}}=:}\sum \limits _{l=0}^{\infty }{}{{\sigma }_{l}}\\\end{array}}

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 (4.488 KB / 693 B) :

\begin{array}{l} σ_{t o t .} = \int_{}^{} d Ω {| f (ϑ) |}^{2} \\ a u e r d e m \\ \int_{- 1}^{1} d ξ P_{l} (ξ) P_{l \overset{\overset{´}{}}{}} (ξ) = \frac{2}{2 l + 1} δ_{l l \overset{\overset{´}{}}{}} \\ \Rightarrow σ_{t o t .} = \int_{}^{} d Ω {| f (ϑ) |}^{2} = 2 π \sum_{l = 0}^{\infty} \frac{2}{2 l + 1} {| f_{l} |}^{2} = : \sum_{l = 0}^{\infty} σ_{l} \end{array}

<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" columnalign="left "><mtr><mtd></mtd><mtd><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mi>o</mi><mi>t</mi><mo>.</mo></mrow></mrow></msub><mo>=</mo><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"><mi>d</mi><mi mathvariant="normal">&#x03A9;</mi></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>f</mi><mo stretchy="false">(</mo><mi>&#x03D1;</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><mi>a</mi><mi>u</mi><mi>e</mi><mi>r</mi><mi>d</mi><mi>e</mi><mi>m</mi></mtd></mtr><mtr><mtd></mtd><mtd><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>&#x03BE;</mi></mrow><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">(</mo><mi>&#x03BE;</mi><mo stretchy="false">)</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mrow data-mjx-texclass="ORD"><mover><mrow><mrow data-mjx-texclass="OP"><mspace width="0.5em"/></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></mover></mrow><mspace width="0.167em"></mspace></mrow></mrow></msub><mo stretchy="false">(</mo><mi>&#x03BE;</mi><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>l</mi><mo>+</mo><mn>1</mn></mrow></mrow></mfrac></mrow><msub><mi>&#x03B4;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>l</mi><mrow data-mjx-texclass="ORD"><mover><mrow><mrow data-mjx-texclass="OP"><mspace width="0.5em"/></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></mover></mrow><mspace width="0.167em"></mspace></mrow></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mi>o</mi><mi>t</mi><mo>.</mo></mrow></mrow></msub><mo>=</mo><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"><mi>d</mi><mi mathvariant="normal">&#x03A9;</mi></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>f</mi><mo stretchy="false">(</mo><mi>&#x03D1;</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><mn>2</mn><mi>&#x03C0;</mi><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>l</mi><mo>+</mo><mn>1</mn></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><mi>:</mi></mrow><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

$σ$

$t$

$o$

$t$

$Ω$

$f$

$ϑ$

$a$

$u$

$e$

$r$

$d$

$e$

$m$

$ξ$

$P_{l}$

$ξ$

$P$

$l$

$\overset{´}{}$

$ξ$

$l$

$δ$

$l$

$l$

$\overset{´}{}$

$σ$

$t$

$o$

$t$

$Ω$

$f$

$ϑ$

$π$

$l$

$l$

$f_{l}$

$l$

$σ_{l}$

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