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Display information for equation id:math.2232.10 on revision:2232
* Page found: Quantentheoretischer Zugang (eq math.2232.10)
(force rerendering)Occurrences on the following pages:
Hash: 1a1755916075835f929a247769e010f2
TeX (original user input):
\begin{align}
& {{\varphi }_{{\vec{k}}}}=\frac{1}{\sqrt{V}}{{e}^{i\vec{k}.\vec{r}}},{{k}_{i}}=\frac{2\pi }{L}{{m}_{i}},\,\,{{m}_{i}}\in \mathbb{Z} \\
& \vec{k}.\vec{r}=\sum\limits_{i}{{{k}_{i}}{{x}_{i}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\varphi }_{\vec {k}}}={\frac {1}{\sqrt {V}}}{{e}^{i{\vec {k}}.{\vec {r}}}},{{k}_{i}}={\frac {2\pi }{L}}{{m}_{i}},\,\,{{m}_{i}}\in \mathbb {Z} \\&{\vec {k}}.{\vec {r}}=\sum \limits _{i}{{{k}_{i}}{{x}_{i}}}\\\end{aligned}}
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MathML (2.293 KB / 496 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>φ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>→</mo></mover></mrow></mrow></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msqrt><mi>V</mi></msqrt></mrow></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>→</mo></mover></mrow></mrow><mo>.</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>→</mo></mover></mrow></mrow></mrow></mrow></msup><mo>,</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></mfrac></mrow><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>,</mo><mspace width="0.167em"></mspace><mspace width="0.167em"></mspace><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>∈</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="double-struck">ℤ</mi></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>→</mo></mover></mrow></mrow><mo>.</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>→</mo></mover></mrow></mrow><mo>=</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><mrow data-mjx-texclass="ORD"><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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