
\sect{Bose gas in graviation}

%Baruch's  B05.

Consider an ideal Bose gas of particles with mass $m$
in a uniform gravitational field of accelaration ${g}$.
\begin{itemize}
\item [(a)]
Find the condensation temperature to leading order in $g$.
[Hint: $g_{3/2}(\zeta )=g_{3/2}(1)- 2\sqrt{-\pi\ln\zeta}+
O(\ln\zeta ).$]
\item [(b)]
Show that the condensation is accompanied by a discontinuity in
the specific heat at ${T_{c}}$. Calculate this discontinuity to leading order.
[Hint:  $\Delta C_V$ is due to discontinuity in ${(\partial\zeta /\partial T)_{N,V}}$].\\
\end{itemize}

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