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Display information for equation id:math.2562.23 on revision:2562
* Page found: Das Photonengas im Strahlungshohlraum (eq math.2562.23)
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Hash: 70172944acacdf70bc954e9dd06a52d5
TeX (original user input):
\begin{align}
& F=-kT\ln Z=kT\sum\limits_{\nu }^{{}}{{}}\ln \left( 1-{{e}^{-\frac{h\nu }{kT}}} \right) \\
& p=kT{{\left( \frac{\partial }{\partial V}\ln Z \right)}_{T}}=-kT\sum\limits_{\nu }^{{}}{{}}\frac{\frac{h}{kT}\left( \frac{\partial \nu }{\partial V} \right){{e}^{-\frac{h\nu }{kT}}}}{\left( 1-{{e}^{-\frac{h\nu }{kT}}} \right)} \\
\end{align}
TeX (checked):
{\begin{aligned}&F=-kT\ln Z=kT\sum \limits _{\nu }^{}{}\ln \left(1-{{e}^{-{\frac {h\nu }{kT}}}}\right)\\&p=kT{{\left({\frac {\partial }{\partial V}}\ln Z\right)}_{T}}=-kT\sum \limits _{\nu }^{}{}{\frac {{\frac {h}{kT}}\left({\frac {\partial \nu }{\partial V}}\right){{e}^{-{\frac {h\nu }{kT}}}}}{\left(1-{{e}^{-{\frac {h\nu }{kT}}}}\right)}}\\\end{aligned}}
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MathML (3.586 KB / 513 B) :
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