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Display information for equation id:math.1664.8 on revision:1664

* Page found: Drehimpuls- Eigenzustände (eq math.1664.8)

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Hash: 8d091e5e037adfddf00f0d421a4a081b

TeX (original user input):

\begin{align}

& \Rightarrow {{\varepsilon }_{jkl}}{{{\hat{L}}}_{j}}{{{\hat{L}}}_{k}}=i\hbar {{{\hat{L}}}_{l}} \\

& \Rightarrow {{\left( \hat{L}\times \hat{L} \right)}_{l}}=i\hbar {{{\hat{L}}}_{l}}\Rightarrow \hat{L}\times \hat{L}=i\hbar \hat{L} \\

\end{align}

TeX (checked):

{\begin{aligned}&\Rightarrow {{\varepsilon }_{jkl}}{{\hat {L}}_{j}}{{\hat {L}}_{k}}=i\hbar {{\hat {L}}_{l}}\\&\Rightarrow {{\left({\hat {L}}\times {\hat {L}}\right)}_{l}}=i\hbar {{\hat {L}}_{l}}\Rightarrow {\hat {L}}\times {\hat {L}}=i\hbar {\hat {L}}\\\end{aligned}}

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MathML (1.779 KB / 386 B) :

εjklL̂jL̂k=iL̂l(L̂×L̂)l=iL̂lL̂×L̂=iL̂
<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"><mo stretchy="false"></mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mi>k</mi><mi>l</mi></mrow></mrow></msub><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">=</mo><mi>i</mi><mi alternate="1"></mi><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false"></mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">×</mo><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="false">=</mo><mi>i</mi><mi alternate="1"></mi><msub><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo stretchy="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"></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

  • εjkl
  • L̂j
  • L̂k
  • i
  • L̂l
  • L̂
  • L̂
  • l
  • i
  • L̂l
  • L̂
  • L̂
  • i
  • L̂

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