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Display information for equation id:math.2232.30 on revision:2232
* Page found: Quantentheoretischer Zugang (eq math.2232.30)
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Hash: c406d796052e302847f822eb0fccd640
TeX (original user input):
{{\Psi }_{F}}=\frac{1}{\sqrt{N!}}\underbrace{\sum\limits_{P}{\operatorname{sign}\left( P \right)P\left( {{\varphi }_{{{n}_{1}}}}\left( {{x}_{1}} \right)\ldots {{\varphi }_{{{n}_{k}}}}\left( {{x}_{k}} \right)\ldots {{\varphi }_{{{n}_{N}}}}\left( {{x}_{N}} \right) \right)}}_{\text{Anzahl der Vertauschungen um die Permutation zu konstruieren mal }\left( -1 \right)}
TeX (checked):
{{\Psi }_{F}}={\frac {1}{\sqrt {N!}}}\underbrace {\sum \limits _{P}{\operatorname {sign} \left(P\right)P\left({{\varphi }_{{n}_{1}}}\left({{x}_{1}}\right)\ldots {{\varphi }_{{n}_{k}}}\left({{x}_{k}}\right)\ldots {{\varphi }_{{n}_{N}}}\left({{x}_{N}}\right)\right)}} _{{\text{Anzahl der Vertauschungen um die Permutation zu konstruieren mal }}\left(-1\right)}
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MathML (2.369 KB / 491 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>F</mi></mrow></msub></mstyle><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><mrow data-mjx-texclass="ORD"><mi>N</mi><mi>!</mi></mrow></msqrt></mrow></mrow></mfrac></mrow><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>P</mi></mrow></munder><mrow data-mjx-texclass="ORD"><mi data-mjx-texclass="OP" mathvariant="normal">sign</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>P</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>P</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>φ</mi><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>…</mo><msub><mi>φ</mi><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>…</mo><msub><mi>φ</mi><mrow data-mjx-texclass="ORD"><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>Anzahl der Vertauschungen um die Permutation zu konstruieren mal </mtext></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>−</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></munder></mrow></math>
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