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Display information for equation id:math.1824.65 on revision:1824

* Page found: Das Wasserstoffatom (relativistsich) (eq math.1824.65)

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Das Wasserstoffatom (relativistsich) Eq: math.1826.65

Hash: 250d6dca3cd049a60f1e7ff63a85f484

TeX (original user input):

\begin{align}

& \frac{a\left( \lambda +q+n\acute{\ } \right)+{{a}_{2}}\gamma }{a}=-\frac{\left[ {{a}_{2}}\left( \lambda -q+n\acute{\ } \right)-a\gamma  \right]}{{{a}_{2}}} \\

& \lambda +q+n\acute{\ }+\frac{{{a}_{2}}}{a}\gamma +\lambda -q+n\acute{\ }+\frac{a}{{{a}_{2}}}\gamma =0 \\

& 2a\left( \lambda +n\acute{\ } \right)=\left( \frac{{{a}^{2}}}{{{a}_{2}}}-{{a}_{2}} \right)\gamma =\frac{2E}{\hbar c}\gamma  \\

& \frac{{{a}^{2}}}{{{a}_{2}}}={{a}_{1}} \\

& {{a}^{2}}{{\left( \lambda +n\acute{\ } \right)}^{2}}=\frac{{{E}^{2}}}{{{\hbar }^{2}}{{c}^{2}}}{{\gamma }^{2}} \\

\end{align}

TeX (checked):

{\begin{aligned}&{\frac {a\left(\lambda +q+n{\acute {\ }}\right)+{{a}_{2}}\gamma }{a}}=-{\frac {\left[{{a}_{2}}\left(\lambda -q+n{\acute {\ }}\right)-a\gamma \right]}{{a}_{2}}}\\&\lambda +q+n{\acute {\ }}+{\frac {{a}_{2}}{a}}\gamma +\lambda -q+n{\acute {\ }}+{\frac {a}{{a}_{2}}}\gamma =0\\&2a\left(\lambda +n{\acute {\ }}\right)=\left({\frac {{a}^{2}}{{a}_{2}}}-{{a}_{2}}\right)\gamma ={\frac {2E}{\hbar c}}\gamma \\&{\frac {{a}^{2}}{{a}_{2}}}={{a}_{1}}\\&{{a}^{2}}{{\left(\lambda +n{\acute {\ }}\right)}^{2}}={\frac {{E}^{2}}{{{\hbar }^{2}}{{c}^{2}}}}{{\gamma }^{2}}\\\end{aligned}}

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\begin{aligned} \frac{a (λ + q + n \overset{´}{}) + a_{2} γ}{a} = - \frac{[a_{2} (λ - q + n \overset{´}{}) - a γ]}{a_{2}} \\ λ + q + n \overset{´}{} + \frac{a_{2}}{a} γ + λ - q + n \overset{´}{} + \frac{a}{a_{2}} γ = 0 \\ 2 a (λ + n \overset{´}{}) = (\frac{a^{2}}{a_{2}} - a_{2}) γ = \frac{2 E}{ℏ c} γ \\ \frac{a^{2}}{a_{2}} = a_{1} \\ a^{2} {(λ + n \overset{´}{})}^{2} = \frac{E^{2}}{ℏ^{2} c^{2}} γ^{2} \end{aligned}

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Identifiers

$a$

$λ$

$q$

$n$

$\overset{´}{}$

$a_{2}$

$γ$

$a$

$a_{2}$

$λ$

$q$

$n$

$\overset{´}{}$

$a$

$γ$

$a_{2}$

$λ$

$q$

$n$

$\overset{´}{}$

$a_{2}$

$a$

$γ$

$λ$

$q$

$n$

$\overset{´}{}$

$a$

$a_{2}$

$γ$

$a$

$λ$

$n$

$\overset{´}{}$

$a$

$a_{2}$

$a_{2}$

$γ$

$E$

$c$

$γ$

$a$

$a_{2}$

$a_{1}$

$a$

$λ$

$n$

$\overset{´}{}$

$E$

$c$

$γ$

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