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Display information for equation id:math.1779.22 on revision:1779

* Page found: Streuamplitude und Streuquerschnitt (eq math.1779.22)

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Hash: eabca033cb64d96ccbf7d0054f5da589

TeX (original user input):

{{\bar{j}}_{e}}=\frac{\hbar }{2im}\left( {{\Psi }_{e}}*\nabla {{\Psi }_{e}}-{{\Psi }_{e}}\nabla {{\Psi }_{e}}* \right)=\frac{\hbar \bar{k}}{m}{{\Psi }_{e}}{{\Psi }_{e}}*=\frac{\hbar \bar{k}}{m}{{\left| \Psi  \right|}^{2}}

TeX (checked):

{{\bar {j}}_{e}}={\frac {\hbar }{2im}}\left({{\Psi }_{e}}*\nabla {{\Psi }_{e}}-{{\Psi }_{e}}\nabla {{\Psi }_{e}}*\right)={\frac {\hbar {\bar {k}}}{m}}{{\Psi }_{e}}{{\Psi }_{e}}*={\frac {\hbar {\bar {k}}}{m}}{{\left|\Psi \right|}^{2}}

LaTeXML (experimental; uses MathML) rendering

MathML (11.546 KB / 1.782 KB) :

j ¯ e = 2 i m ( Ψ e * Ψ e - Ψ e Ψ e * ) = k ¯ m Ψ e Ψ e * = k ¯ m | Ψ | 2 fragments subscript ¯ 𝑗 𝑒 Planck-constant-over-2-pi 2 𝑖 𝑚 fragments ( subscript Ψ 𝑒 subscript Ψ 𝑒 subscript Ψ 𝑒 subscript Ψ 𝑒 ) Planck-constant-over-2-pi ¯ 𝑘 𝑚 subscript Ψ 𝑒 subscript Ψ 𝑒 Planck-constant-over-2-pi ¯ 𝑘 𝑚 | Ψ superscript | 2 {\displaystyle{\displaystyle{{\bar{j}}_{e}}=\frac{\hbar}{2im}\left({{\Psi}_{e}% }*\nabla{{\Psi}_{e}}-{{\Psi}_{e}}\nabla{{\Psi}_{e}}*\right)=\frac{\hbar\bar{k}% }{m}{{\Psi}_{e}}{{\Psi}_{e}}*=\frac{\hbar\bar{k}}{m}{{\left|\Psi\right|}^{2}}}}
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MathML (2.226 KB / 396 B) :

j¯e=2im(Ψe*ΨeΨeΨe*)=k¯mΨeΨe*=k¯m|Ψ|2
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>i</mi><mi>m</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo>*</mo><mi mathvariant="normal">&#x2207;</mi><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo>&#x2212;</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mi mathvariant="normal">&#x2207;</mi><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo>*</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></mfrac></mrow><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo>*</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A8;</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></math>

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Translation to Maple

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Translation to Mathematica

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Calculated based on the variables occurring on the entire Streuamplitude und Streuquerschnitt page

Identifiers

  • j¯e
  • i
  • m
  • Ψe
  • Ψe
  • Ψe
  • Ψe
  • k¯
  • m
  • Ψe
  • Ψe
  • k¯
  • m
  • Ψ

MathML observations

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