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authorkurchan.jorge <kurchan.jorge@gmail.com>2020-12-08 10:34:49 +0000
committeroverleaf <overleaf@localhost>2020-12-08 10:34:50 +0000
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@@ -216,7 +216,7 @@ Another instrument we have to study this problem is to compute the following par
\begin{eqnarray}
Z= \int \Pi_i dx_i dy_i \; e^{-\beta_{R} \Re H_0 -\beta_I \Im H_0}
\delta(\sum_i z_i^2-N) \delta\left(\sum_i y_i^2 -N \frac{a-1}{2}\right)
-\end{equation}
+\end{eqnarray}
The energy $\Re H_0, \Im H_0$ are in a one-to one relation with the temperatures $\beta_R,\beta_I$. The entropy $S(a,H_0) = \ln Z+ +\beta_{R} \langle \Re H_0 \rangle +\beta_I \langle \Im H_0\rangle$
is the logarithm of the number of configurations of a given $(a,H_0)$.