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Display information for equation id:math.2618.9 on revision:2618

* Page found: Klein Gordon Gleichung (eq math.2618.9)

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Hash: 3cbce6b1bbf3ecb664c6dabff3c8e3f5

TeX (original user input):

\begin{align}

& \underline{j}=\frac{1}{2\mathfrak{i} m}\left( {{\Psi }^{*}}\nabla \Psi -\Psi \nabla {{\Psi }^{*}} \right) \\

& \rho \equiv \frac{1}{2m}\left( {{\Psi }^{*}}{{\partial }_{t}}\Psi -\Psi {{\partial }_{t}}{{\Psi }^{*}} \right) \\

\end{align}

TeX (checked):

{\begin{aligned}&{\underline {j}}={\frac {1}{2{\mathfrak {i}}m}}\left({{\Psi }^{*}}\nabla \Psi -\Psi \nabla {{\Psi }^{*}}\right)\\&\rho \equiv {\frac {1}{2m}}\left({{\Psi }^{*}}{{\partial }_{t}}\Psi -\Psi {{\partial }_{t}}{{\Psi }^{*}}\right)\\\end{aligned}}

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MathML (2.078 KB / 433 B) :

j_=12im(Ψ*ΨΨΨ*)ρ12m(Ψ*tΨΨtΨ*)
<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><mrow data-mjx-texclass="ORD"><munder><mi>j</mi><mo>_</mo></munder></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"><mn>2</mn><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><mi>m</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mo>*</mo></mrow></msup><mi mathvariant="normal">&#x2207;</mi><mi mathvariant="normal">&#x03A8;</mi><mo>&#x2212;</mo><mi mathvariant="normal">&#x03A8;</mi><mi mathvariant="normal">&#x2207;</mi><msup><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mo>*</mo></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>&#x03C1;</mi><mo>&#x2261;</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"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mo>*</mo></mrow></msup><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi mathvariant="normal">&#x03A8;</mi><mo>&#x2212;</mo><mi mathvariant="normal">&#x03A8;</mi><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><msup><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mo>*</mo></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Identifiers

  • j_
  • i
  • m
  • Ψ
  • Ψ
  • Ψ
  • Ψ
  • ρ
  • m
  • Ψ
  • t
  • Ψ
  • Ψ
  • t
  • Ψ

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