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Display information for equation id:math.1826.29 on revision:1826
* Page found: Das Wasserstoffatom (relativistsich) (eq math.1826.29)
(force rerendering)Occurrences on the following pages:
Hash: 74984f44b24f0bfe895045037eba16cf
TeX (original user input):
\begin{align}
& {{a}_{1}}=\frac{{{m}_{0}}{{c}^{2}}+E}{\hbar c} \\
& {{a}_{2}}=\frac{{{m}_{0}}{{c}^{2}}-E}{\hbar c} \\
& a=\sqrt{{{a}_{1}}{{a}_{2}}}=\frac{\sqrt{{{m}_{0}}^{2}{{c}^{4}}-{{E}^{2}}}}{\hbar c} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{a}_{1}}={\frac {{{m}_{0}}{{c}^{2}}+E}{\hbar c}}\\&{{a}_{2}}={\frac {{{m}_{0}}{{c}^{2}}-E}{\hbar c}}\\&a={\sqrt {{{a}_{1}}{{a}_{2}}}}={\frac {\sqrt {{{m}_{0}}^{2}{{c}^{4}}-{{E}^{2}}}}{\hbar c}}\\\end{aligned}}
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MathML (2.303 KB / 392 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><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><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>E</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi><mi>c</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><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>E</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi><mi>c</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>a</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></msqrt></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><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></msqrt></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi><mi>c</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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