
\sect{Spectral functions for N harmonic oscillators}

%Baruch's  A06

Consider an ensemble of ${N}$ harmonic oscillators with an
energy spectrum of each oscillator being ${\left(n+\frac{1}{2}
\right)\hbar\omega , n=0, 1, 2, ...}$

\begin{itemize}
\item [(a)]
Evaluate the asymptotic expression for  ${\Omega\left(E\right)}$,
the number of ways in which a given energy ${E}$ can be distributed.
\item [(a)]
Consider these oscillators as classical and find the volume in
phase space for the energy ${E}$. Compare the result to (a) and
show that the phase space volume corresponding to one state is
${h^{N}}$. \\
\end{itemize}

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