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Display information for equation id:math.1791.25 on revision:1791

* Page found: Drehimpulsdarstellung und Streuphasen (eq math.1791.25)

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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}}

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\begin{matrix} 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{matrix}

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Identifiers

$σ$

$t$

$o$

$t$

$Ω$

$f$

$ϑ$

$a$

$u$

$e$

$r$

$d$

$e$

$m$

$ξ$

$P_{l}$

$ξ$

$P$

$l$

$\overset{´}{}$

$ξ$

$l$

$δ$

$l$

$l$

$\overset{´}{}$

$σ$

$t$

$o$

$t$

$Ω$

$f$

$ϑ$

$π$

$l$

$l$

$f_{l}$

$l$

$σ_{l}$

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