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Display information for equation id:math.1686.13 on revision:1686

* Page found: Magnetisches Moment und Zeeman- Effekt (eq math.1686.13)

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Occurrences on the following pages:

Hash: c622854698f8e8d9b72668b7d4d56120

TeX (original user input):

\begin{align}

& -\frac{{{\hbar }^{2}}}{2{{m}_{0}}}\Delta \Psi +\left( V-E-\frac{e}{2{{m}_{0}}}B{{L}_{3}} \right)\Psi =0 \\

& {{L}_{3}}\Psi =\hbar m\Psi  \\

\end{align}

TeX (checked):

{\begin{aligned}&-{\frac {{\hbar }^{2}}{2{{m}_{0}}}}\Delta \Psi +\left(V-E-{\frac {e}{2{{m}_{0}}}}B{{L}_{3}}\right)\Psi =0\\&{{L}_{3}}\Psi =\hbar m\Psi \\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.657 KB / 425 B) :

22m0ΔΨ+(VEe2m0BL3)Ψ=0L3Ψ=mΨ
<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><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">&#x210F;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mi mathvariant="normal">&#x0394;</mi><mi mathvariant="normal">&#x03A8;</mi><mo>+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>V</mi><mo>&#x2212;</mo><mi>E</mi><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mi>B</mi><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi mathvariant="normal">&#x03A8;</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mi mathvariant="normal">&#x03A8;</mi><mo>=</mo><mi data-mjx-alternate="1">&#x210F;</mi><mi>m</mi><mi mathvariant="normal">&#x03A8;</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Magnetisches Moment und Zeeman- Effekt page

Identifiers

  • m0
  • Δ
  • Ψ
  • V
  • E
  • e
  • m0
  • B
  • L3
  • Ψ
  • L3
  • Ψ
  • m
  • Ψ

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