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Display information for equation id:math.2549.23 on revision:2549

* Page found: Das ideale Fermigas (eq math.2549.23)

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Hash: f7aeba97dd729e4649392527e5fec998

TeX (original user input):

\begin{align}

& {{\Psi }_{j}}\left( {\bar{r}} \right)=\frac{1}{\sqrt{V}}{{e}^{i\bar{k}\bar{r}}} \\

& {{k}_{a}}L=2\pi {{n}_{a}} \\

& {{n}_{a}}=\pm 1,\pm 2,\pm 3.... \\

& a=1,2,3 \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\Psi }_{j}}\left({\bar {r}}\right)={\frac {1}{\sqrt {V}}}{{e}^{i{\bar {k}}{\bar {r}}}}\\&{{k}_{a}}L=2\pi {{n}_{a}}\\&{{n}_{a}}=\pm 1,\pm 2,\pm 3....\\&a=1,2,3\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (17.527 KB / 2.307 KB) :

Ψ j ( r ¯ ) = 1 V e i k ¯ r ¯ k a L = 2 π n a n a = ± 1 , ± 2 , ± 3 . a = 1 , 2 , 3 absent subscript Ψ 𝑗 ¯ 𝑟 1 𝑉 superscript 𝑒 𝑖 ¯ 𝑘 ¯ 𝑟 absent subscript 𝑘 𝑎 𝐿 2 𝜋 subscript 𝑛 𝑎 absent subscript 𝑛 𝑎 plus-or-minus 1 plus-or-minus 2 plus-or-minus 3 absent 𝑎 1 2 3 {\displaystyle{\displaystyle\begin{aligned} \par&\displaystyle{{\Psi}_{j}}% \left({\bar{r}}\right)=\frac{1}{\sqrt{V}}{{e}^{i\bar{k}\bar{r}}}\\ \par&\displaystyle{{k}_{a}}L=2\pi{{n}_{a}}\\ \par&\displaystyle{{n}_{a}}=\pm 1,\pm 2,\pm 3....\\ \par&\displaystyle a=1,2,3\\ \par\end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (1.843 KB / 467 B) :

Ψj(r¯)=1Veik¯r¯kaL=2πnana=±1,±2,±3....a=1,2,3

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Calculated based on the variables occurring on the entire Das ideale Fermigas page

Identifiers

  • Ψj
  • r¯
  • V
  • e
  • i
  • k¯
  • r¯
  • ka
  • L
  • π
  • na
  • na
  • a

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