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Display information for equation id:math.1737.24 on revision:1737

* Page found: Induzierte Emission und Absorption von Lichtquanten in Atomen (eq math.1737.24)

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TeX (original user input): 

\begin{align}
& {{\Psi }_{nlm}}(\bar{r})=\frac{{{u}_{nl}}(r)}{r}{{Y}_{l}}^{m}\left( \vartheta ,\phi  \right)\tilde{\ }{{P}_{l}}^{m}(\cos \vartheta ){{e}^{im\phi }} \\
& \left| n \right\rangle =\left| n\acute{\ }l\acute{\ }m\acute{\ } \right\rangle  \\
& \left| {{n}_{0}} \right\rangle =\left| nlm \right\rangle  \\
\end{align}

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MathML (23.73 KB / 2.865 KB) :

Ψ n ⁢ l ⁢ m ⁢ ( r ¯ ) = u n ⁢ l ⁢ ( r ) r ⁢ Y l m ⁢ ( ϑ , ϕ ) ⁢ ~ ⁢ P l m ⁢ ( cos ⁡ ϑ ) ⁢ e i ⁢ m ⁢ ϕ | n ⟩ = | n ⁢ ´ ⁢ l ⁢ ´ ⁢ m ⁢ ´ ⟩ | n 0 ⟩ = | n ⁢ l ⁢ m ⟩ missing-subexpression subscript Ψ 𝑛 𝑙 𝑚 ¯ 𝑟 subscript 𝑢 𝑛 𝑙 𝑟 𝑟 superscript subscript 𝑌 𝑙 𝑚 italic-ϑ italic-ϕ ~ absent superscript subscript 𝑃 𝑙 𝑚 italic-ϑ superscript 𝑒 𝑖 𝑚 italic-ϕ missing-subexpression ket 𝑛 ket 𝑛 ´ absent 𝑙 ´ absent 𝑚 ´ absent missing-subexpression ket subscript 𝑛 0 ket 𝑛 𝑙 𝑚 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle{{\Psi}_{nlm}}(\bar{% r})=\frac{{{u}_{nl}}(r)}{r}{{Y}_{l}}^{m}\left(\vartheta,\phi\right)\tilde{\ }{% {P}_{l}}^{m}(\cos\vartheta){{e}^{im\phi}}\\ &\displaystyle\left|n\right\rangle=\left|n\acute{\ }l\acute{\ }m\acute{\ }% \right\rangle\\ &\displaystyle\left|{{n}_{0}}\right\rangle=\left|nlm\right\rangle\\ \end{aligned}}}

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Ψnlm(r¯)=unl(r)rYlm(ϑ,ϕ)~Plm(cos⁡ϑ)eimϕ|n⟩=|n´l´m´⟩|n0⟩=|nlm⟩

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