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Display information for equation id:math.1677.28 on revision:1677

* Page found: Kugelsymmetrische Potentiale (eq math.1677.28)

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Hash: 764195b4b68ab839e555235225bc086a

TeX (original user input):

\begin{align}

& \frac{{{p}^{2}}}{2m}=\frac{1}{2m{{r}^{2}}}\left[ {{\left( \bar{r}\cdot \bar{p} \right)}^{2}}+{{L}^{2}} \right] \\

& mit\left( \bar{r}\cdot \bar{p} \right)=r{{p}_{r}} \\

\end{align}

TeX (checked):

{\begin{aligned}&{\frac {{p}^{2}}{2m}}={\frac {1}{2m{{r}^{2}}}}\left[{{\left({\bar {r}}\cdot {\bar {p}}\right)}^{2}}+{{L}^{2}}\right]\\&mit\left({\bar {r}}\cdot {\bar {p}}\right)=r{{p}_{r}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (15.543 KB / 1.989 KB) :

p 2 2 m = 1 2 m r 2 [ ( r ¯ p ¯ ) 2 + L 2 ] m i t ( r ¯ p ¯ ) = r p r absent superscript 𝑝 2 2 𝑚 1 2 𝑚 superscript 𝑟 2 delimited-[] superscript ¯ 𝑟 ¯ 𝑝 2 superscript 𝐿 2 absent 𝑚 𝑖 𝑡 ¯ 𝑟 ¯ 𝑝 𝑟 subscript 𝑝 𝑟 {\displaystyle{\displaystyle\begin{aligned} \par&\displaystyle\frac{{{p}^{2}}}% {2m}=\frac{1}{2m{{r}^{2}}}\left[{{\left(\bar{r}\cdot\bar{p}\right)}^{2}}+{{L}^% {2}}\right]\\ \par&\displaystyle mit\left(\bar{r}\cdot\bar{p}\right)=r{{p}_{r}}\\ \par\end{aligned}}}

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SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (2.031 KB / 426 B) :

p22m=12mr2[(r¯p¯)2+L2]mit(r¯p¯)=rpr

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Calculated based on the variables occurring on the entire Kugelsymmetrische Potentiale page

Identifiers

  • p
  • m
  • m
  • r
  • r¯
  • p¯
  • L
  • m
  • i
  • t
  • r¯
  • p¯
  • r
  • pr

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