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Display information for equation id:math.1670.0 on revision:1670

* Page found: Ortsdarstellung des Bahndrehimpulses (eq math.1670.0)

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Hash: 45ca8c61aa4c80012d09b0cfe5753901

TeX (original user input):

\begin{align}

& \left\langle  {\bar{r}} \right|\hat{\bar{p}}\left| l,m \right\rangle =\frac{\hbar }{i}\nabla {{\Psi }_{lm}}(\bar{r}) \\

& \left\langle  {\bar{r}} \right|\bar{r}\left| l,m \right\rangle =\bar{r}{{\Psi }_{lm}}(\bar{r}) \\

\end{align}

TeX (checked):

{\begin{aligned}&\left\langle {\bar {r}}\right|{\hat {\bar {p}}}\left|l,m\right\rangle ={\frac {\hbar }{i}}\nabla {{\Psi }_{lm}}({\bar {r}})\\&\left\langle {\bar {r}}\right|{\bar {r}}\left|l,m\right\rangle ={\bar {r}}{{\Psi }_{lm}}({\bar {r}})\\\end{aligned}}

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MathML (experimental; no images) rendering

MathML (1.827 KB / 419 B) :

r¯|p¯̂|l,m=iΨlm(r¯)r¯|r¯|l,m=r¯Ψlm(r¯)
<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"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mover><mi>r</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">|</mo></mrow><mover><mover><mi>p</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>l</mi><mo>,</mo><mi>m</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi alternate="1"></mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></mfrac></mrow><mi mathvariant="normal"></mi><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo></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><mover><mi>r</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">|</mo></mrow><mover><mi>r</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>l</mi><mo>,</mo><mi>m</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mo stretchy="false">=</mo><mover><mi>r</mi><mo>¯</mo></mover><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo></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 Ortsdarstellung des Bahndrehimpulses page

Identifiers

  • r¯
  • p¯̂
  • l
  • m
  • i
  • Ψlm
  • r¯
  • r¯
  • r¯
  • l
  • m
  • r¯
  • Ψlm
  • r¯

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