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Classical ensemble expectation value
Definition
$ \langle \mathcal M, H,\pi,\pi_0,{\hat\rho},{\hat\rho}_0\rangle$ … classical statistical ensemble |
$\langle \cdot \rangle: (\Gamma_{\mathcal M}\to \mathbb R)\to \mathbb R$ |
$\langle F\rangle:=\int_{\Gamma_{\mathcal M}}\ F\cdot\rho\ \mathrm d\Gamma$ |
Discussion
In the definition we must use $\rho$, i.e. the noramlized ${\hat\rho}$.