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Display information for equation id:math.1410.15 on revision:1410
* Page found: Symmetrien und Erhaltungsgrößen (eq math.1410.15)
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Hash: 65becc1499bbc23c8072de8189e74cf4
TeX (original user input):
\begin{align}
& L({{h}^{s}}({{{\bar{r}}}_{i}}),{{{\dot{\bar{r}}}}_{i}})=\frac{1}{2}\sum\limits_{i=1}^{N}{{{m}_{i}}{{{\dot{\bar{r}}}}_{i}}^{2}-V({{{\bar{r}}}_{1}}+s{{{\bar{e}}}_{x}},...,{{{\bar{r}}}_{N}}+s{{{\bar{e}}}_{x}})}=L({{{\bar{r}}}_{i}},{{{\dot{\bar{r}}}}_{i}})\ Forderung! \\
& \frac{dL}{ds}=-\sum\limits_{i=1}^{N}{\left( {{\nabla }_{ri}}\cdot {{{\bar{e}}}_{x}} \right)}V=-\sum\limits_{i=1}^{N}{\frac{\partial }{\partial {{x}_{i}}}}V=0\quad Forderung! \\
\end{align}
TeX (checked):
{\begin{aligned}&L({{h}^{s}}({{\bar {r}}_{i}}),{{\dot {\bar {r}}}_{i}})={\frac {1}{2}}\sum \limits _{i=1}^{N}{{{m}_{i}}{{\dot {\bar {r}}}_{i}}^{2}-V({{\bar {r}}_{1}}+s{{\bar {e}}_{x}},...,{{\bar {r}}_{N}}+s{{\bar {e}}_{x}})}=L({{\bar {r}}_{i}},{{\dot {\bar {r}}}_{i}})\ Forderung!\\&{\frac {dL}{ds}}=-\sum \limits _{i=1}^{N}{\left({{\nabla }_{ri}}\cdot {{\bar {e}}_{x}}\right)}V=-\sum \limits _{i=1}^{N}{\frac {\partial }{\partial {{x}_{i}}}}V=0\quad Forderung!\\\end{aligned}}
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