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Display information for equation id:math.1796.37 on revision:1796

* Page found: Drehimpulsdarstellung und Streuphasen (eq math.1796.37)

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Drehimpulsdarstellung und Streuphasen Eq: math.1796.37

Hash: af085a31ee038510e9d942a05d5f8da4

TeX (original user input):

\begin{align}
& {{f}_{l}}=\frac{2l+1}{2ik}{{i}^{l}}{{e}^{-il\frac{\pi }{2}}}\left( {{e}^{i2{{\delta }_{l}}}}-1 \right)=\frac{2l+1}{2ik}\left( {{e}^{i2{{\delta }_{l}}}}-1 \right) \\
& \Rightarrow {{f}_{l}}=\frac{2l+1}{k}{{e}^{i{{\delta }_{l}}}}\sin {{\delta }_{l}} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{f}_{l}}={\frac {2l+1}{2ik}}{{i}^{l}}{{e}^{-il{\frac {\pi }{2}}}}\left({{e}^{i2{{\delta }_{l}}}}-1\right)={\frac {2l+1}{2ik}}\left({{e}^{i2{{\delta }_{l}}}}-1\right)\\&\Rightarrow {{f}_{l}}={\frac {2l+1}{k}}{{e}^{i{{\delta }_{l}}}}\sin {{\delta }_{l}}\\\end{aligned}}

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MathML (2.675 KB / 455 B) :

\begin{aligned} f_{l} = \frac{2 l + 1}{2 i k} i^{l} e^{- i l \frac{π}{2}} (e^{i 2 δ_{l}} - 1) = \frac{2 l + 1}{2 i k} (e^{i 2 δ_{l}} - 1) \\ \Rightarrow f_{l} = \frac{2 l + 1}{k} e^{i δ_{l}} \sin δ_{l} \end{aligned}

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$f_{l}$

$l$

$i$

$k$

$i$

$l$

$e$

$i$

$l$

$π$

$e$

$i$

$δ_{l}$

$l$

$i$

$k$

$e$

$i$

$δ_{l}$

$f_{l}$

$l$

$k$

$e$

$i$

$δ_{l}$

$δ_{l}$

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