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Display information for equation id:math.1762.21 on revision:1762

* Page found: Homöopolare chemische Bindung des Wasserstoffmoleküls (eq math.1762.21)

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Hash: 35b707a8dbc3e3894e52b491174bef6d

TeX (original user input):

\begin{align}

& T:{{=}_{1}}{{\left\langle  a | b \right\rangle }_{1}}=\int_{{}}^{{}}{{}}{{\Psi }_{a}}^{*}({{{\bar{r}}}_{1}}){{\Psi }_{b}}^{*}({{{\bar{r}}}_{1}}){{d}^{3}}{{r}_{1}} \\

& \Rightarrow T=\int_{{}}^{{}}{{}}{{d}^{3}}{{r}_{1}}R{{*}_{nl}}({{r}_{a1}}){{Y}_{l}}^{m*}({{\vartheta }_{a}},{{\phi }_{a}}){{R}_{n\acute{\ }l\acute{\ }}}({{r}_{b1}}){{Y}_{l\acute{\ }}}^{m\acute{\ }}({{\vartheta }_{b}},{{\phi }_{b}}) \\

\end{align}

TeX (checked):

{\begin{aligned}&T:{{=}_{1}}{{\left\langle a|b\right\rangle }_{1}}=\int _{}^{}{}{{\Psi }_{a}}^{*}({{\bar {r}}_{1}}){{\Psi }_{b}}^{*}({{\bar {r}}_{1}}){{d}^{3}}{{r}_{1}}\\&\Rightarrow T=\int _{}^{}{}{{d}^{3}}{{r}_{1}}R{{*}_{nl}}({{r}_{a1}}){{Y}_{l}}^{m*}({{\vartheta }_{a}},{{\phi }_{a}}){{R}_{n{\acute {\ }}l{\acute {\ }}}}({{r}_{b1}}){{Y}_{l{\acute {\ }}}}^{m{\acute {\ }}}({{\vartheta }_{b}},{{\phi }_{b}})\\\end{aligned}}

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MathML (3.756 KB / 605 B) :

T:=1a|b1=Ψa(r¯1)Ψb(r¯1)d3r1T=d3r1Rnl(ra1)Ylm(ϑa,ϕa)Rn ´l ´(rb1)Yl ´m ´(ϑb,ϕb)
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Calculated based on the variables occurring on the entire Homöopolare chemische Bindung des Wasserstoffmoleküls page

Identifiers

  • T
  • a
  • b
  • Ψa
  • r¯1
  • Ψb
  • r¯1
  • r1
  • T
  • r1
  • R
  • n
  • l
  • ra1
  • Yl
  • m
  • ϑa
  • ϕa
  • R
  • n
  •  ´
  • l
  •  ´
  • rb1
  • Y
  • l
  •  ´
  • m
  •  ´
  • ϑb
  • ϕb

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