classical_microcanonical_phase

Classical microcanonical phase volume

context	$\langle \mathcal M, \mathcal H,\pi,\pi_0,{\hat\rho},{\hat\rho}_0\rangle$ … classical microcanonical ensemble
context	$\mathrm{dim}(\mathcal M) = 3N$
context	$\hbar$ … Reduced Planck's constant
definiendum	$\Gamma(E):=\frac{1}{h^{3N} N!}\int_{\{\langle{\bf q},{\bf p}\rangle\in \Gamma_{\mathcal M}\ \|\ E\le H({\bf q},{\bf p})\le E+\Delta\}} \mathrm d\Gamma$

$\Gamma(E):=\frac{1}{h^{3N}N!}\int_{\Gamma_{\mathcal M}} \hat\rho(E;{\bf q},{\bf p}) \ \mathrm d\Gamma$