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Display information for equation id:math.1821.40 on revision:1821

* Page found: Der nichtrelativistische Grenzfall (eq math.1821.40)

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Hash: 6849a06864bd32d510b57b0fcc50aebd

TeX (original user input): 

\begin{align}

& \bar{J}:=\bar{L}+\frac{\hbar }{2}\tilde{\bar{\sigma }}=\bar{r}\times \bar{p}\left( \begin{matrix}

1 & 0  \\

0 & 1  \\

\end{matrix} \right)+\frac{\hbar }{2}\tilde{\bar{\sigma }} \\

& \bar{r}\times \bar{p}\left( \begin{matrix}

1 & 0  \\

0 & 1  \\

\end{matrix} \right)=\bar{r}\times \bar{p}\left( \begin{matrix}

1 & {} & {} & {}  \\

{} & 1 & {} & {}  \\

{} & {} & 1 & {}  \\

{} & {} & {} & 1  \\

\end{matrix} \right) \\

\end{align}

TeX (checked): 

{\begin{aligned}&{\bar {J}}:={\bar {L}}+{\frac {\hbar }{2}}{\tilde {\bar {\sigma }}}={\bar {r}}\times {\bar {p}}\left({\begin{matrix}1&0\\0&1\\\end{matrix}}\right)+{\frac {\hbar }{2}}{\tilde {\bar {\sigma }}}\\&{\bar {r}}\times {\bar {p}}\left({\begin{matrix}1&0\\0&1\\\end{matrix}}\right)={\bar {r}}\times {\bar {p}}\left({\begin{matrix}1&{}&{}&{}\\{}&1&{}&{}\\{}&{}&1&{}\\{}&{}&{}&1\\\end{matrix}}\right)\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (29.754 KB / 2.992 KB) :

J ¯ := L ¯ + ℏ 2 ⁢ σ ¯ ~ = r ¯ × p ¯ ⁢ ( 1 0 0 1 ) + ℏ 2 ⁢ σ ¯ ~ r ¯ × p ¯ ⁢ ( 1 0 0 1 ) = r ¯ × p ¯ ⁢ ( 1 1 1 1 ) absent assign ¯ 𝐽 ¯ 𝐿 Planck-constant-over-2-pi 2 ~ ¯ 𝜎 ¯ 𝑟 ¯ 𝑝 1 0 0 1 absent Planck-constant-over-2-pi 2 ~ ¯ 𝜎 absent ¯ 𝑟 ¯ 𝑝 1 0 0 1 absent ¯ 𝑟 ¯ 𝑝 1 absent absent absent absent 1 absent absent absent absent 1 absent absent absent absent 1 absent {\displaystyle{\displaystyle\begin{aligned} \par&\displaystyle\bar{J}:=\bar{L}% +\frac{\hbar}{2}\tilde{\bar{\sigma}}=\bar{r}\times\bar{p}\left(\begin{matrix}% \par 1&0\\ \par 0&1\\ \par\end{matrix}\right)+\frac{\hbar}{2}\tilde{\bar{\sigma}}\\ \par&\displaystyle\bar{r}\times\bar{p}\left(\begin{matrix}\par 1&0\\ \par 0&1\\ \par\end{matrix}\right)=\bar{r}\times\bar{p}\left(\begin{matrix}\par 1&&&\\ \par&1&&\\ \par&&1&\\ \par&&&1\\ \par\end{matrix}\right)\\ \par\end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (3.326 KB / 459 B) :

J¯:=L¯+ℏ2σ¯~=r¯×p¯(1001)+ℏ2σ¯~r¯×p¯(1001)=r¯×p¯(1111)

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Calculated based on the variables occurring on the entire Der nichtrelativistische Grenzfall page

Identifiers

  • J¯
  • L¯
  • σ¯~
  • r¯
  • p¯
  • σ¯~
  • r¯
  • p¯
  • r¯
  • p¯

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