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Display information for equation id:math.1664.11 on revision:1664

* Page found: Drehimpuls- Eigenzustände (eq math.1664.11)

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Hash: 54b3da4de3ccd21b0a29a53f8cc35890

TeX (original user input):

'''\begin{align}

& \left[ {{{\hat{L}}}^{2}},{{{\hat{L}}}_{k}} \right]=\left[ {{{\hat{L}}}_{1}}^{2}+{{{\hat{L}}}_{2}}^{2}+{{{\hat{L}}}_{3}}^{2},{{{\hat{L}}}_{k}} \right] \\

& \left[ {{{\hat{L}}}_{1}}^{2},{{{\hat{L}}}_{k}} \right]={{{\hat{L}}}_{1}}\left[ {{{\hat{L}}}_{1}},{{{\hat{L}}}_{k}} \right]+\left[ {{{\hat{L}}}_{1}},{{{\hat{L}}}_{k}} \right]{{{\hat{L}}}_{1}} \\

\end{align}

TeX (checked):

'''{\begin{aligned}&\left[{{\hat {L}}^{2}},{{\hat {L}}_{k}}\right]=\left[{{\hat {L}}_{1}}^{2}+{{\hat {L}}_{2}}^{2}+{{\hat {L}}_{3}}^{2},{{\hat {L}}_{k}}\right]\\&\left[{{\hat {L}}_{1}}^{2},{{\hat {L}}_{k}}\right]={{\hat {L}}_{1}}\left[{{\hat {L}}_{1}},{{\hat {L}}_{k}}\right]+\left[{{\hat {L}}_{1}},{{\hat {L}}_{k}}\right]{{\hat {L}}_{1}}\\\end{aligned}}

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MathML (2.99 KB / 388 B) :

[L̂2,L̂k]=[L̂12+L̂22+L̂32,L̂k][L̂12,L̂k]=L̂1[L̂1,L̂k]+[L̂1,L̂k]L̂1
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msup><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>,</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msup><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>,</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msup><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>,</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo stretchy="false">=</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable><mo>&#x2034;</mo></msup></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Drehimpuls- Eigenzustände page

Identifiers

  • L̂
  • L̂k
  • L̂1
  • L̂2
  • L̂3
  • L̂k
  • L̂1
  • L̂k
  • L̂1
  • L̂1
  • L̂k
  • L̂1
  • L̂k
  • L̂1

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