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Display information for equation id:math.2497.38 on revision:2497
* Page found: Thermodynamische Stabilität (eq math.2497.38)
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Hash: ba0751a9c4870be0bb5b38a0159a0c07
TeX (original user input):
\begin{align}
& \Gamma \left( \alpha \right)=\ln \left\langle {{e}^{\alpha b}} \right\rangle =\ln tr\left( \rho {{e}^{\alpha b}} \right) \\
& {{e}^{\alpha b}}={{\rho }^{-\alpha }} \\
& \Rightarrow \Gamma \left( \alpha \right)=\ln \left\langle {{e}^{\alpha b}} \right\rangle =\ln tr\left( {{\rho }^{1-\alpha }} \right)=!=\sum\limits_{n=0}^{\infty }{{}}\frac{{{\alpha }^{n}}}{n!}{{C}_{n}} \\
\end{align}
TeX (checked):
{\begin{aligned}&\Gamma \left(\alpha \right)=\ln \left\langle {{e}^{\alpha b}}\right\rangle =\ln tr\left(\rho {{e}^{\alpha b}}\right)\\&{{e}^{\alpha b}}={{\rho }^{-\alpha }}\\&\Rightarrow \Gamma \left(\alpha \right)=\ln \left\langle {{e}^{\alpha b}}\right\rangle =\ln tr\left({{\rho }^{1-\alpha }}\right)=!=\sum \limits _{n=0}^{\infty }{}{\frac {{\alpha }^{n}}{n!}}{{C}_{n}}\\\end{aligned}}
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