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Display information for equation id:math.1666.6 on revision:1666

* Page found: Drehimpuls- Eigenzustände (eq math.1666.6)

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TeX (original user input): 

\begin{align}

& {{{\hat{L}}}_{1}}{{{\hat{L}}}_{2}}-{{{\hat{L}}}_{2}}{{{\hat{L}}}_{1}}=i\hbar {{{\hat{L}}}_{3}} \\

& {{{\hat{L}}}_{2}}{{{\hat{L}}}_{3}}-{{{\hat{L}}}_{3}}{{{\hat{L}}}_{2}}=i\hbar {{{\hat{L}}}_{1}} \\

& {{{\hat{L}}}_{3}}{{{\hat{L}}}_{1}}-{{{\hat{L}}}_{1}}{{{\hat{L}}}_{3}}=i\hbar {{{\hat{L}}}_{2}} \\

& \to \hat{L}\times \hat{L}=i\hbar \hat{L} \\

\end{align}

TeX (checked): 

{\begin{aligned}&{{\hat {L}}_{1}}{{\hat {L}}_{2}}-{{\hat {L}}_{2}}{{\hat {L}}_{1}}=i\hbar {{\hat {L}}_{3}}\\&{{\hat {L}}_{2}}{{\hat {L}}_{3}}-{{\hat {L}}_{3}}{{\hat {L}}_{2}}=i\hbar {{\hat {L}}_{1}}\\&{{\hat {L}}_{3}}{{\hat {L}}_{1}}-{{\hat {L}}_{1}}{{\hat {L}}_{3}}=i\hbar {{\hat {L}}_{2}}\\&\to {\hat {L}}\times {\hat {L}}=i\hbar {\hat {L}}\\\end{aligned}}

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MathML (2.861 KB / 383 B) :

L̂1L̂2−L̂2L̂1=iℏL̂3L̂2L̂3−L̂3L̂2=iℏL̂1L̂3L̂1−L̂1L̂3=iℏL̂2→L̂×L̂=iℏL̂
<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"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">−</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><mi>i</mi><mi alternate="1">ℏ</mi><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">−</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mi>i</mi><mi alternate="1">ℏ</mi><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><mtd class="mwe-math-columnalign-l"><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">−</mo><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">=</mo><mi>i</mi><mi alternate="1">ℏ</mi><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false" accent="false">→</mo><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">×</mo><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">=</mo><mi>i</mi><mi alternate="1">ℏ</mi><mover><mi>L</mi><mo stretchy="false">̂</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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

Identifiers

  • L̂1
  • L̂2
  • L̂2
  • L̂1
  • i
  • L̂3
  • L̂2
  • L̂3
  • L̂3
  • L̂2
  • i
  • L̂1
  • L̂3
  • L̂1
  • L̂1
  • L̂3
  • i
  • L̂2
  • L̂
  • L̂
  • i
  • L̂

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