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Display information for equation id:math.1825.24 on revision:1825
* Page found: Das Wasserstoffatom (relativistsich) (eq math.1825.24)
(force rerendering)Occurrences on the following pages:
Hash: 5ee393d5a912a6620cb8066918e891e9
TeX (original user input):
H=\hbar c\left( \begin{matrix}
0 & -1 \\
1 & 0 \\
\end{matrix} \right)\left( \frac{\partial }{\partial r}+\frac{1}{r} \right)-\frac{c\hbar q}{r}\left( \begin{matrix}
0 & 1 \\
1 & 0 \\
\end{matrix} \right)+{{m}_{0}}{{c}^{2}}\left( \begin{matrix}
1 & 0 \\
0 & -1 \\
\end{matrix} \right)+V\left( \begin{matrix}
1 & 0 \\
0 & 1 \\
\end{matrix} \right)
TeX (checked):
H=\hbar c\left({\begin{matrix}0&-1\\1&0\\\end{matrix}}\right)\left({\frac {\partial }{\partial r}}+{\frac {1}{r}}\right)-{\frac {c\hbar q}{r}}\left({\begin{matrix}0&1\\1&0\\\end{matrix}}\right)+{{m}_{0}}{{c}^{2}}\left({\begin{matrix}1&0\\0&-1\\\end{matrix}}\right)+V\left({\begin{matrix}1&0\\0&1\\\end{matrix}}\right)
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MathML (2.426 KB / 427 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mo>=</mo><mi data-mjx-alternate="1">ℏ</mi><mi>c</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd><mtd><mo>−</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>r</mi></mrow></mrow></mfrac></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>c</mi><mi data-mjx-alternate="1">ℏ</mi><mi>q</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mo>−</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>V</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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