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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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MathML (24.264 KB / 2.666 KB) :

Ψ ± ( 0 ) = 1 2 ⁢ ( 1 ± | T | 2 ) ⁢ ( | a ⟩ 1 ⁢ | b ⟩ 2 ± | a ⟩ 2 ⁢ | b ⟩ 1 ) | a ⟩ 1 ⁢ | b ⟩ 2 = Ψ α | a ⟩ 2 ⁢ | b ⟩ 1 = Ψ β missing-subexpression superscript subscript Ψ plus-or-minus 0 1 2 plus-or-minus 1 superscript 𝑇 2 plus-or-minus subscript ket 𝑎 1 subscript ket 𝑏 2 subscript ket 𝑎 2 subscript ket 𝑏 1 missing-subexpression subscript ket 𝑎 1 subscript ket 𝑏 2 subscript Ψ 𝛼 missing-subexpression subscript ket 𝑎 2 subscript ket 𝑏 1 subscript Ψ 𝛽 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle{{\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)\\ &\displaystyle{{\left|a\right\rangle}_{1}}{{\left|b\right\rangle}_{2}}={{\Psi}% _{\alpha}}\\ &\displaystyle{{\left|a\right\rangle}_{2}}{{\left|b\right\rangle}_{1}}={{\Psi}% _{\beta}}\\ \end{aligned}}}

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MathML (3.031 KB / 485 B) :

Ψ±(0)=12(1±|T|2)(|a⟩1|b⟩2±|a⟩2|b⟩1)|a⟩1|b⟩2=Ψα|a⟩2|b⟩1=Ψβ

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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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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“