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Display information for equation id:math.3928.0 on revision:3928

* Page found: Klein Gordon Gleichung (eq math.3928.0)

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Hash: 10aefcd7033acddfe3b75f5ff5ce013f

TeX (original user input):

\Psi \left( \underline{x},t \right)={{\left( 2\pi  \right)}^{-{}^{d}\!\!\diagup\!\!{}_{2}\;}}\int{\varphi \left( \underline{k} \right){{e}^{-\mathfrak{i} \omega \left( \underline{k} \right)t+\mathfrak{i} \underline{k}.\underline{x}}}{{d}^{d}}\underline{k}}

TeX (checked):

\Psi \left({\underline {x}},t\right)={{\left(2\pi \right)}^{-{}^{d}\!\!\diagup \!\!{}_{2}\;}}\int {\varphi \left({\underline {k}}\right){{e}^{-{\mathfrak {i}}\omega \left({\underline {k}}\right)t+{\mathfrak {i}}{\underline {k}}.{\underline {x}}}}{{d}^{d}}{\underline {k}}}

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MathML (experimentell; keine Bilder) rendering

MathML (2.074 KB / 435 B) :

Ψ(x_,t)=(2π)d2φ(k_)eiω(k_)t+ik_.x_ddk_
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>x</mi><mo>_</mo></munder></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>2</mn><mi>&#x03C0;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><msup><mi/><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msup><mspace width="-0.167em"></mspace><mspace width="-0.167em"></mspace><mi>&#x2571;</mi><mspace width="-0.167em"></mspace><mspace width="-0.167em"></mspace><msub><mrow data-mjx-texclass="ORD"/><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mspace width="0.278em"></mspace></mrow></mrow></msup><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mi>&#x03C6;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>k</mi><mo>_</mo></munder></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><mi>&#x03C9;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>k</mi><mo>_</mo></munder></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>t</mi><mo>+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><munder><mi>k</mi><mo>_</mo></munder></mrow><mo>.</mo><mrow data-mjx-texclass="ORD"><munder><mi>x</mi><mo>_</mo></munder></mrow></mrow></mrow></msup><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msup><mrow data-mjx-texclass="ORD"><munder><mi>k</mi><mo>_</mo></munder></mrow></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Klein Gordon Gleichung page

Identifiers

  • Ψ
  • x_
  • t
  • π
  • d
  • φ
  • k_
  • e
  • i
  • ω
  • k_
  • t
  • i
  • k_
  • x_
  • d
  • k_

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