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Display information for equation id:math.1762.24 on revision:1762

* Page found: Homöopolare chemische Bindung des Wasserstoffmoleküls (eq math.1762.24)

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Occurrences on the following pages:

Hash: ae5e5b0da61fcbaf3b5699a7469ea828

TeX (original user input):

\begin{align}

& 0=\left( {{{\hat{H}}}^{(1)}}_{\alpha ,\alpha }-{{E}^{(1)}} \right){{c}_{\alpha }}+\left( {{{\hat{H}}}^{(1)}}_{\alpha ,\beta }-{{E}^{(1)}}{{\left| T \right|}^{2}} \right){{c}_{\beta }} \\
& 0=\left( {{{\hat{H}}}^{(1)}}_{\beta \alpha }-{{E}^{(1)}}{{\left| T \right|}^{2}} \right){{c}_{\alpha }}+\left( {{{\hat{H}}}^{(1)}}_{\beta \beta }-{{E}^{(1)}} \right){{c}_{\beta }} \\
\end{align}

TeX (checked):

{\begin{aligned}&0=\left({{\hat {H}}^{(1)}}_{\alpha ,\alpha }-{{E}^{(1)}}\right){{c}_{\alpha }}+\left({{\hat {H}}^{(1)}}_{\alpha ,\beta }-{{E}^{(1)}}{{\left|T\right|}^{2}}\right){{c}_{\beta }}\\&0=\left({{\hat {H}}^{(1)}}_{\beta \alpha }-{{E}^{(1)}}{{\left|T\right|}^{2}}\right){{c}_{\alpha }}+\left({{\hat {H}}^{(1)}}_{\beta \beta }-{{E}^{(1)}}\right){{c}_{\beta }}\\\end{aligned}}

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MathML (3.632 KB / 429 B) :

0=(Ĥ(1)α,αE(1))cα+(Ĥ(1)α,βE(1)|T|2)cβ0=(Ĥ(1)βαE(1)|T|2)cα+(Ĥ(1)ββE(1))cβ
<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"><mn>0</mn><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><msup><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mo>,</mo><mi>α</mi></mrow></mrow></msub><mo stretchy="false"></mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><msup><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mo>,</mo><mi>β</mi></mrow></mrow></msub><mo stretchy="false"></mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>T</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mn>0</mn><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><msup><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>α</mi></mrow></mrow></msub><mo stretchy="false"></mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>T</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><msup><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>β</mi></mrow></mrow></msub><mo stretchy="false"></mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>c</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

  • Ĥα,α
  • E
  • cα
  • Ĥα,β
  • E
  • T
  • cβ
  • Ĥβα
  • E
  • T
  • cα
  • Ĥββ
  • E
  • cβ

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