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Display information for equation id:math.2232.3 on revision:2232

* Page found: Quantentheoretischer Zugang (eq math.2232.3)

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Hash: eb5cc6dc1d1afc8ade01e7f208bc405f

TeX (original user input):

{{\varphi }_{n}}\left( {\vec{r}} \right)=\sqrt{\frac{2}{L}}\sin \left( \frac{{{n}_{x}}\pi }{L}x \right)\sqrt{\frac{2}{L}}\sin \left( \frac{{{n}_{y}}\pi }{L}y \right)\sqrt{\frac{2}{L}}\sin \left( \frac{{{n}_{z}}\pi }{L}z \right)

TeX (checked):

{{\varphi }_{n}}\left({\vec {r}}\right)={\sqrt {\frac {2}{L}}}\sin \left({\frac {{{n}_{x}}\pi }{L}}x\right){\sqrt {\frac {2}{L}}}\sin \left({\frac {{{n}_{y}}\pi }{L}}y\right){\sqrt {\frac {2}{L}}}\sin \left({\frac {{{n}_{z}}\pi }{L}}z\right)

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MathML (experimental; no images) rendering

MathML (2.246 KB / 349 B) :

φn(r)=2Lsin(nxπLx)2Lsin(nyπLy)2Lsin(nzπLz)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>&#x03C6;</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle><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"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></mfrac></mrow></msqrt></mrow><mi>sin</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mi>&#x03C0;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></mfrac></mrow><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></mfrac></mrow></msqrt></mrow><mi>sin</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><mi>&#x03C0;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></mfrac></mrow><mi>y</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></mfrac></mrow></msqrt></mrow><mi>sin</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mi>&#x03C0;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></mfrac></mrow><mi>z</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></math>

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Calculated based on the variables occurring on the entire Quantentheoretischer Zugang page

Identifiers

  • φn
  • r
  • L
  • nx
  • π
  • L
  • x
  • L
  • ny
  • π
  • L
  • y
  • L
  • nz
  • π
  • L
  • z

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