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Display information for equation id:math.1762.33 on revision:1762

* Page found: Homöopolare chemische Bindung des Wasserstoffmoleküls (eq math.1762.33)

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TeX (original user input):

\begin{align}
& {{\Psi }_{\pm }}^{(0)}=\frac{1}{\sqrt{2\left( 1\pm |T{{|}^{2}} \right)}}\left( {{\left| a \right\rangle }_{1}}{{\left| b \right\rangle }_{2}}\pm {{\left| a \right\rangle }_{2}}{{\left| b \right\rangle }_{1}} \right) \\
& {{\left| a \right\rangle }_{1}}{{\left| b \right\rangle }_{2}}={{\Psi }_{\alpha }} \\
& {{\left| a \right\rangle }_{2}}{{\left| b \right\rangle }_{1}}={{\Psi }_{\beta }} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\Psi }_{\pm }}^{(0)}={\frac {1}{\sqrt {2\left(1\pm |T{{|}^{2}}\right)}}}\left({{\left|a\right\rangle }_{1}}{{\left|b\right\rangle }_{2}}\pm {{\left|a\right\rangle }_{2}}{{\left|b\right\rangle }_{1}}\right)\\&{{\left|a\right\rangle }_{1}}{{\left|b\right\rangle }_{2}}={{\Psi }_{\alpha }}\\&{{\left|a\right\rangle }_{2}}{{\left|b\right\rangle }_{1}}={{\Psi }_{\beta }}\\\end{aligned}}

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Ψ±(0)=12(1±|T|2)(|a1|b2±|a2|b1)|a1|b2=Ψα|a2|b1=Ψβ
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msup><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">±</mo></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">=</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"><mn>2</mn><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">±</mo><mo stretchy="false">|</mo><mi>T</mi><msup><mo stretchy="false" lspace="0" rspace="0">|</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msqrt></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>a</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>b</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">±</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>a</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>b</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>a</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>b</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>a</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>b</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Homöopolare chemische Bindung des Wasserstoffmoleküls page

Identifiers

  • Ψ
  • T
  • a1
  • b2
  • a2
  • b1
  • a1
  • b2
  • Ψα
  • a2
  • b1
  • Ψβ

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