- testwiki

General

Display information for equation id:math.1793.33 on revision:1793

* Page found: Drehimpulsdarstellung und Streuphasen (eq math.1793.33)

Occurrences on the following pages:

Drehimpulsdarstellung und Streuphasen Eq: math.1796.33

Hash: f4f7bfa03f96dc0d2893e2dc0054e565

TeX (original user input):

\frac{{{C}_{l}}}{2i}\left\{ {{e}^{i\left( kr-l\frac{\pi }{2}+{{\delta }_{l}} \right)}}-{{e}^{-i\left( kr-l\frac{\pi }{2}+{{\delta }_{l}} \right)}} \right\}=\left\{ \frac{\left( 2l+1 \right)}{2i}\frac{{{i}^{l}}}{k}\left[ {{e}^{i\left( kr-l\frac{\pi }{2} \right)}}-{{e}^{-i\left( kr-l\frac{\pi }{2} \right)}} \right]+{{f}_{l}}{{e}^{ikr}} \right\}

TeX (checked):

{\frac {{C}_{l}}{2i}}\left\{{{e}^{i\left(kr-l{\frac {\pi }{2}}+{{\delta }_{l}}\right)}}-{{e}^{-i\left(kr-l{\frac {\pi }{2}}+{{\delta }_{l}}\right)}}\right\}=\left\{{\frac {\left(2l+1\right)}{2i}}{\frac {{i}^{l}}{k}}\left[{{e}^{i\left(kr-l{\frac {\pi }{2}}\right)}}-{{e}^{-i\left(kr-l{\frac {\pi }{2}}\right)}}\right]+{{f}_{l}}{{e}^{ikr}}\right\}

LaTeXML (experimental; uses MathML) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :

MathML (experimental; no images) rendering

MathML (3.34 KB / 411 B) :

\frac{C_{l}}{2 i} {e^{i (k r - l \frac{π}{2} + δ_{l})} - e^{- i (k r - l \frac{π}{2} + δ_{l})}} = {\frac{(2 l + 1)}{2 i} \frac{i^{l}}{k} [e^{i (k r - l \frac{π}{2})} - e^{- i (k r - l \frac{π}{2})}] + f_{l} e^{i k r}}

<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"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>i</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>k</mi><mi>r</mi><mo>&#x2212;</mo><mi>l</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03C0;</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo>+</mo><msub><mi>&#x03B4;</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup><mo>&#x2212;</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>i</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>k</mi><mi>r</mi><mo>&#x2212;</mo><mi>l</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03C0;</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo>+</mo><msub><mi>&#x03B4;</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>2</mn><mi>l</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>i</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>i</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>k</mi><mi>r</mi><mo>&#x2212;</mo><mi>l</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03C0;</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup><mo>&#x2212;</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>i</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>k</mi><mi>r</mi><mo>&#x2212;</mo><mi>l</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03C0;</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>+</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><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><mo data-mjx-texclass="CLOSE">}</mo></mrow></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

$C_{l}$

$i$

$e$

$i$

$k$

$r$

$l$

$π$

$δ_{l}$

$e$

$i$

$k$

$r$

$l$

$π$

$δ_{l}$

$l$

$i$

$i$

$l$

$k$

$e$

$i$

$k$

$r$

$l$

$π$

$e$

$i$

$k$

$r$

$l$

$π$

$f_{l}$

$e$

$i$

$k$

$r$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

General

LaTeXML (experimental; uses MathML) rendering

MathML (experimental; no images) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

General

LaTeXML (experimental; uses MathML) rendering

MathML (experimental; no images) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

Search