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Display information for equation id:math.1777.72 on revision:1777
* Page found: Lippmann- Schwinger- Gleichung (eq math.1777.72)
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TeX (original user input):
\begin{align}
& \left\langle \bar{r}\acute{\ } \right|{{{\hat{H}}}^{(1)}}\left| {{\Psi }^{(+)}} \right\rangle =V(\bar{r}\acute{\ }){{\Psi }^{(+)}}(\bar{r}\acute{\ }) \\
& \Rightarrow {{\Psi }^{(+)}}(\bar{r})={{e}^{i\bar{k}\bar{r}}}-\frac{2m}{{{\hbar }^{2}}}\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }}\frac{{{e}^{i\bar{k}\left| \bar{r}-\bar{r}\acute{\ } \right|}}}{4\pi \left| \bar{r}-\bar{r}\acute{\ } \right|}V(\bar{r}\acute{\ }){{\Psi }^{(+)}}(\bar{r}\acute{\ }) \\
\end{align}
TeX (checked):
{\begin{aligned}&\left\langle {\bar {r}}{\acute {\ }}\right|{{\hat {H}}^{(1)}}\left|{{\Psi }^{(+)}}\right\rangle =V({\bar {r}}{\acute {\ }}){{\Psi }^{(+)}}({\bar {r}}{\acute {\ }})\\&\Rightarrow {{\Psi }^{(+)}}({\bar {r}})={{e}^{i{\bar {k}}{\bar {r}}}}-{\frac {2m}{{\hbar }^{2}}}\int _{}^{}{{{d}^{3}}r{\acute {\ }}}{\frac {{e}^{i{\bar {k}}\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}{4\pi \left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}V({\bar {r}}{\acute {\ }}){{\Psi }^{(+)}}({\bar {r}}{\acute {\ }})\\\end{aligned}}
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