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Display information for equation id:math.1823.28 on revision:1823
* Page found: Das Wasserstoffatom (relativistsich) (eq math.1823.28)
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Hash: 0603ec38f08c2a47bd3c2ff34ea44962
TeX (original user input):
\begin{align}
& \left( E-{{m}_{0}}{{c}^{2}}-V \right)F+\hbar c\frac{dG}{dr}+\frac{c\hbar q}{r}G=0 \\
& \left( E+{{m}_{0}}{{c}^{2}}-V \right)G-\hbar c\frac{dF}{dr}+\frac{c\hbar q}{r}F=0 \\
& V=-\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}}\frac{1}{r} \\
\end{align}
TeX (checked):
{\begin{aligned}&\left(E-{{m}_{0}}{{c}^{2}}-V\right)F+\hbar c{\frac {dG}{dr}}+{\frac {c\hbar q}{r}}G=0\\&\left(E+{{m}_{0}}{{c}^{2}}-V\right)G-\hbar c{\frac {dF}{dr}}+{\frac {c\hbar q}{r}}F=0\\&V=-{\frac {{e}^{2}}{4\pi {{\varepsilon }_{0}}}}{\frac {1}{r}}\\\end{aligned}}
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MathML (2.751 KB / 486 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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>E</mi><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><mo>−</mo><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>F</mi><mo>+</mo><mi data-mjx-alternate="1">ℏ</mi><mi>c</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>G</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>r</mi></mrow></mrow></mfrac></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><mi>G</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>E</mi><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><mo>−</mo><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>G</mi><mo>−</mo><mi data-mjx-alternate="1">ℏ</mi><mi>c</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>F</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>r</mi></mrow></mrow></mfrac></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><mi>F</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mi>V</mi><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><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></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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