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Display information for equation id:math.1632.50 on revision:1632

* Page found: Eigenwerte und Eigenzustände von hermiteschen Operatoren (eq math.1632.50)

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TeX (original user input): 

\begin{align}
& {{c}_{\beta \acute{\ }\beta }}=\left\langle  n,\beta \acute{\ } \right|\hat{G}\left| n,\beta  \right\rangle ={{G}_{n\beta }}{{\delta }_{\beta \acute{\ }\beta }} \\
& \hat{G}\left| n,\beta  \right\rangle =\sum\limits_{\beta \acute{\ }}{\left| n,\beta \acute{\ } \right\rangle }{{c}_{\beta \acute{\ }\beta }}={{G}_{n\beta }}\left| n,\beta  \right\rangle  \\
\end{align}

TeX (checked): 

{\begin{aligned}&{{c}_{\beta {\acute {\ }}\beta }}=\left\langle n,\beta {\acute {\ }}\right|{\hat {G}}\left|n,\beta \right\rangle ={{G}_{n\beta }}{{\delta }_{\beta {\acute {\ }}\beta }}\\&{\hat {G}}\left|n,\beta \right\rangle =\sum \limits _{\beta {\acute {\ }}}{\left|n,\beta {\acute {\ }}\right\rangle }{{c}_{\beta {\acute {\ }}\beta }}={{G}_{n\beta }}\left|n,\beta \right\rangle \\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (25.521 KB / 2.952 KB) :

c β ⁢ ´ ⁢ β = ⟨ n , β ⁢ ´ | G ^ | n , β ⟩ = G n ⁢ β ⁢ δ β ⁢ ´ ⁢ β G ^ ⁢ | n , β ⟩ = ∑ β ⁢ ´ | n , β ⁢ ´ ⟩ ⁢ c β ⁢ ´ ⁢ β = G n ⁢ β ⁢ | n , β ⟩ missing-subexpression subscript 𝑐 𝛽 ´ absent 𝛽 quantum-operator-product 𝑛 𝛽 ´ absent ^ 𝐺 𝑛 𝛽 subscript 𝐺 𝑛 𝛽 subscript 𝛿 𝛽 ´ absent 𝛽 missing-subexpression ^ 𝐺 ket 𝑛 𝛽 subscript 𝛽 ´ absent ket 𝑛 𝛽 ´ absent subscript 𝑐 𝛽 ´ absent 𝛽 subscript 𝐺 𝑛 𝛽 ket 𝑛 𝛽 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle{{c}_{\beta\acute{\ % }\beta}}=\left\langle n,\beta\acute{\ }\right|\hat{G}\left|n,\beta\right% \rangle={{G}_{n\beta}}{{\delta}_{\beta\acute{\ }\beta}}\\ &\displaystyle\hat{G}\left|n,\beta\right\rangle=\sum\limits_{\beta\acute{\ }}{% \left|n,\beta\acute{\ }\right\rangle}{{c}_{\beta\acute{\ }\beta}}={{G}_{n\beta% }}\left|n,\beta\right\rangle\\ \end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (3.155 KB / 477 B) :

cβ´β=⟨n,β´|G^|n,β⟩=Gnβδβ´βG^|n,β⟩=∑β´|n,β´⟩cβ´β=Gnβ|n,β⟩

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