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Display information for equation id:math.1790.16 on revision:1790

* Page found: Bornsche Näherung (eq math.1790.16)

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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 (4.149 KB / 577 B) :

f(ϑ)=2m20r´2dr´V(r¯´)sinKr´Kr´=2m21K0r´dr´V(r¯´)sinKr´K=2ksinϑ2
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