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Display information for equation id:math.1593.0 on revision:1593
* Page found: Kontinuitätsgleichung (Quantenmechnik) (eq math.1593.0)
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Hash: 06f20d3971198c71a2f47fbaded309d7
TeX (original user input):
\begin{align}
& i\hbar \dot{\Psi }(\bar{r},t)=\hat{H}\Psi =\frac{1}{2m}{{\left( \frac{\hbar }{i}\nabla -e\bar{A} \right)}^{2}}\Psi (\bar{r},t)+V\Psi (\bar{r},t) \\
& V=e\Phi \\
\end{align}
TeX (checked):
{\begin{aligned}&i\hbar {\dot {\Psi }}({\bar {r}},t)={\hat {H}}\Psi ={\frac {1}{2m}}{{\left({\frac {\hbar }{i}}\nabla -e{\bar {A}}\right)}^{2}}\Psi ({\bar {r}},t)+V\Psi ({\bar {r}},t)\\&V=e\Phi \\\end{aligned}}
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MathML (1.705 KB / 461 B) :
<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"><mi>i</mi><mi alternate="1">ℏ</mi><mover><mi>Ψ</mi><mo>˙</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mi>Ψ</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></mfrac></mrow><mi mathvariant="normal">∇</mi><mo stretchy="false">−</mo><mi>e</mi><mover><mi>A</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>Ψ</mi><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>V</mi><mi>Ψ</mi><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>V</mi><mo stretchy="false">=</mo><mi>e</mi><mi>Φ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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