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classical_confined_phase_volume [2013/09/11 22:53] nikolaj created |
classical_confined_phase_volume [2013/10/21 23:00] nikolaj |
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| | @#88DDEE: $ \langle \mathcal M, \mathcal H,\pi,\pi_0,{\hat\rho},{\hat\rho}_0\rangle$ ... classical microcanonical ensemble | | | @#88DDEE: $ \langle \mathcal M, \mathcal H,\pi,\pi_0,{\hat\rho},{\hat\rho}_0\rangle$ ... classical microcanonical ensemble | | ||
| | @#88DDEE: $ \mathrm{dim}(\mathcal M) = 3N $ | | | @#88DDEE: $ \mathrm{dim}(\mathcal M) = 3N $ | | ||
| + | | @#88DDEE: $ \hbar$ ... Reduced Planck's constant | | ||
| | @#FFBB00: $\varphi(E):=\frac{1}{h^{3N} N!}\int_{\{\langle{\bf q},{\bf p}\rangle\in \Gamma_{\mathcal M}\ |\ H({\bf q},{\bf p})\le E\}} \mathrm d\Gamma $ | | | @#FFBB00: $\varphi(E):=\frac{1}{h^{3N} N!}\int_{\{\langle{\bf q},{\bf p}\rangle\in \Gamma_{\mathcal M}\ |\ H({\bf q},{\bf p})\le E\}} \mathrm d\Gamma $ | | ||
