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Display information for equation id:math.2555.23 on revision:2555

* Page found: Das ideale Fermigas (eq math.2555.23)

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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

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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
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mi>V</mi></msqrt></mrow></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mi>L</mi><mo>=</mo><mn>2</mn><mi>&#x03C0;</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo>=</mo><mo>&#x00B1;</mo><mn>1</mn><mo>,</mo><mo>&#x00B1;</mo><mn>2</mn><mo>,</mo><mo>&#x00B1;</mo><mn>3</mn><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo></mtd></mtr><mtr><mtd></mtd><mtd><mi>a</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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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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