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Display information for equation id:math.2672.6 on revision:2672
* Page found: Dirac-Gleichung und Spin: nichtrelativistischer Grenzfall (eq math.2672.6)
(force rerendering)Occurrences on the following pages:
Hash: a97554a35f48f391b4b575c71185e550
TeX (original user input):
\begin{align}
& mc{{\chi }^{2}}\gg \left| i\hbar {{\partial }_{t}}\chi \right|,\quad mc{{\chi }^{2}}\gg \left| e\phi \varphi \right| \\
& \Rightarrow \chi \approx \frac{1}{2m{{c}^{2}}}\underline{\sigma }\left( \underline{p}-e\underline{A} \right)\varphi \\
\end{align}
TeX (checked):
{\begin{aligned}&mc{{\chi }^{2}}\gg \left|i\hbar {{\partial }_{t}}\chi \right|,\quad mc{{\chi }^{2}}\gg \left|e\phi \varphi \right|\\&\Rightarrow \chi \approx {\frac {1}{2m{{c}^{2}}}}{\underline {\sigma }}\left({\underline {p}}-e{\underline {A}}\right)\varphi \\\end{aligned}}
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MathML (1.818 KB / 481 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>m</mi><mi>c</mi><msup><mi>χ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>≫</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>i</mi><mi data-mjx-alternate="1">ℏ</mi><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi>χ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>,</mo><mspace width="1em"></mspace><mi>m</mi><mi>c</mi><msup><mi>χ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>≫</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>e</mi><mi>ϕ</mi><mi>φ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi>χ</mi><mo>≈</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><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>p</mi><mo>_</mo></munder></mrow><mo>−</mo><mi>e</mi><mrow data-mjx-texclass="ORD"><munder><mi>A</mi><mo>_</mo></munder></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>φ</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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