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Display information for equation id:math.1826.69 on revision:1826
* Page found: Das Wasserstoffatom (relativistsich) (eq math.1826.69)
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Hash: f0d1fe0c02c41968770a01536839acb9
TeX (original user input):
\begin{align}
& \lambda =\sqrt{q} \\
& {{a}^{2}}=\frac{{{m}_{0}}^{2}{{c}^{4}}-{{E}^{2}}}{{{\hbar }^{2}}{{c}^{2}}} \\
& \Rightarrow \left( {{m}_{0}}^{2}{{c}^{4}}-{{E}^{2}} \right){{\left( \lambda +n\acute{\ } \right)}^{2}}={{E}^{2}}{{\gamma }^{2}} \\
\end{align}
TeX (checked):
{\begin{aligned}&\lambda ={\sqrt {q}}\\&{{a}^{2}}={\frac {{{m}_{0}}^{2}{{c}^{4}}-{{E}^{2}}}{{{\hbar }^{2}}{{c}^{2}}}}\\&\Rightarrow \left({{m}_{0}}^{2}{{c}^{4}}-{{E}^{2}}\right){{\left(\lambda +n{\acute {\ }}\right)}^{2}}={{E}^{2}}{{\gamma }^{2}}\\\end{aligned}}
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MathML (2.226 KB / 490 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>λ</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><msqrt><mi>q</mi></msqrt></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><mo>−</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><mo>−</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>λ</mi><mo>+</mo><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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