Consider a system of quasiparticles whose energy eigenvalues are given by [ varepsilon(n)=n h v ; quad

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Consider a system of quasiparticles whose energy eigenvalues are given by

\[
\varepsilon(n)=n h v ; \quad n=0,1,2, \ldots
\]

Obtain an asymptotic expression for the number \(\Omega\) of this system for a given number \(N\) of the quasiparticles and a given total energy \(E\). Determine the temperature \(T\) of the system as a function of \(E / N\) and \(h v\), and examine the situation for which \(E /(N h v) \gg 1\).

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