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Display information for equation id:math.1947.9 on revision:1947
* Page found: Die Hamiltonschen Gleichungen (eq math.1947.9)
(force rerendering)Occurrences on the following pages:
Hash: b79305d8cca0fea805525730b0a10625
TeX (original user input):
\begin{align}
& H=m{{{\dot{r}}}^{2}}+m{{r}^{2}}{{{\dot{\phi }}}^{2}}+m{{{\dot{z}}}^{2}}=\frac{1}{2}m\left( {{{\dot{r}}}^{2}}+{{r}^{2}}{{{\dot{\phi }}}^{2}}+{{{\dot{z}}}^{2}} \right)+V \\
& H=\frac{1}{2m}\left( {{p}_{r}}^{2}+\frac{{{p}_{\phi }}^{2}}{{{r}^{2}}}+{{p}_{z}}^{2} \right)+V(r,\phi ,z) \\
\end{align}
TeX (checked):
{\begin{aligned}&H=m{{\dot {r}}^{2}}+m{{r}^{2}}{{\dot {\phi }}^{2}}+m{{\dot {z}}^{2}}={\frac {1}{2}}m\left({{\dot {r}}^{2}}+{{r}^{2}}{{\dot {\phi }}^{2}}+{{\dot {z}}^{2}}\right)+V\\&H={\frac {1}{2m}}\left({{p}_{r}}^{2}+{\frac {{{p}_{\phi }}^{2}}{{r}^{2}}}+{{p}_{z}}^{2}\right)+V(r,\phi ,z)\\\end{aligned}}
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MathML (2.755 KB / 449 B) :
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