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Display information for equation id:math.1787.16 on revision:1787

* Page found: Bornsche Näherung (eq math.1787.16)

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Bornsche Näherung Eq: math.1790.16

Hash: db42e364afc2711de3260c8625990fa0

TeX (original user input):

\begin{align}

& f(\vartheta )=-\frac{2m}{{{\hbar }^{2}}}\int_{0}^{\infty }{r{{\acute{\ }}^{2}}dr\acute{\ }}V(\bar{r}\acute{\ })\frac{\sin Kr\acute{\ }}{Kr\acute{\ }}=-\frac{2m}{{{\hbar }^{2}}}\frac{1}{K}\int_{0}^{\infty }{r\acute{\ }dr\acute{\ }}V(\bar{r}\acute{\ })\sin Kr\acute{\ } \\

& K=2k\sin \frac{\vartheta }{2} \\

\end{align}

TeX (checked):

{\begin{aligned}&f(\vartheta )=-{\frac {2m}{{\hbar }^{2}}}\int _{0}^{\infty }{r{{\acute {\ }}^{2}}dr{\acute {\ }}}V({\bar {r}}{\acute {\ }}){\frac {\sin Kr{\acute {\ }}}{Kr{\acute {\ }}}}=-{\frac {2m}{{\hbar }^{2}}}{\frac {1}{K}}\int _{0}^{\infty }{r{\acute {\ }}dr{\acute {\ }}}V({\bar {r}}{\acute {\ }})\sin Kr{\acute {\ }}\\&K=2k\sin {\frac {\vartheta }{2}}\\\end{aligned}}

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MathML (3.228 KB / 530 B) :

\begin{matrix} f (ϑ) = - \frac{2 m}{ℏ^{2}} \int_{0}^{\infty} r {\overset{´}{}}^{2} d r \overset{´}{} V (\bar{r} \overset{´}{}) \frac{\sin K r \overset{´}{}}{K r \overset{´}{}} = - \frac{2 m}{ℏ^{2}} \frac{1}{K} \int_{0}^{\infty} r \overset{´}{} d r \overset{´}{} V (\bar{r} \overset{´}{}) \sin K r \overset{´}{} \\ K = 2 k \sin \frac{ϑ}{2} \end{matrix}

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Identifiers

$f$

$ϑ$

$m$

$r$

$\overset{´}{}$

$r$

$\overset{´}{}$

$V$

$\bar{r}$

$\overset{´}{}$

$K$

$r$

$\overset{´}{}$

$K$

$r$

$\overset{´}{}$

$m$

$K$

$r$

$\overset{´}{}$

$r$

$\overset{´}{}$

$V$

$\bar{r}$

$\overset{´}{}$

$K$

$r$

$\overset{´}{}$

$K$

$k$

$ϑ$

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