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Display information for equation id:math.1681.33 on revision:1681
* Page found: Das Wasserstoffatom (eq math.1681.33)
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Hash: 73ee0f21bd53a9d801dd3ae6029cf56f
TeX (original user input):
\begin{align}
& E=-\frac{{{\hbar }^{2}}}{2m}{{k}^{2}}=-\frac{m{{e}^{4}}}{2{{\hbar }^{2}}{{(4\pi {{\varepsilon }_{0}})}^{2}}}\frac{1}{{{\lambda }^{2}}} \\
& \frac{m{{e}^{4}}}{2{{\hbar }^{2}}{{(4\pi {{\varepsilon }_{0}})}^{2}}}:={{R}_{H}}=13,6eV \\
\end{align}
TeX (checked):
{\begin{aligned}&E=-{\frac {{\hbar }^{2}}{2m}}{{k}^{2}}=-{\frac {m{{e}^{4}}}{2{{\hbar }^{2}}{{(4\pi {{\varepsilon }_{0}})}^{2}}}}{\frac {1}{{\lambda }^{2}}}\\&{\frac {m{{e}^{4}}}{2{{\hbar }^{2}}{{(4\pi {{\varepsilon }_{0}})}^{2}}}}:={{R}_{H}}=13,6eV\\\end{aligned}}
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MathML (2.51 KB / 468 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>E</mi><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><msup><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msup><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>4</mn><mi>π</mi><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msup><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>4</mn><mi>π</mi><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mi>:</mi><mo>=</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub><mo>=</mo><mn>1</mn><mn>3</mn><mo>,</mo><mn>6</mn><mi>e</mi><mi>V</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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