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classical_microcanonical_ensemble [2014/03/21 11:11] 127.0.0.1 external edit |
classical_microcanonical_ensemble [2015/08/18 20:33] nikolaj |
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| ==== Set ==== | ==== Set ==== | ||
| | @#55CCEE: context | @#55CCEE: $ \Delta \in \mathbb R_+ $ | | | @#55CCEE: context | @#55CCEE: $ \Delta \in \mathbb R_+ $ | | ||
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| | @#FFBB00: definiendum | @#FFBB00: $ \langle \mathcal M, H,{\hat\rho}\rangle \in \mathrm{it} $ | | | @#FFBB00: definiendum | @#FFBB00: $ \langle \mathcal M, H,{\hat\rho}\rangle \in \mathrm{it} $ | | ||
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| | @#55EE55: postulate | @#55EE55: $\langle \mathcal M, H,{\hat\rho}\rangle$ ... classical statistical ensemble | | | @#55EE55: postulate | @#55EE55: $\langle \mathcal M, H,{\hat\rho}\rangle$ ... classical statistical ensemble | | ||
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| | @#55EE55: postulate | @#55EE55: $\hat\rho: \mathbb R_+\to(\Gamma_{\mathcal M} \to\mathbb R_+) $ | | | @#55EE55: postulate | @#55EE55: $\hat\rho: \mathbb R_+\to(\Gamma_{\mathcal M} \to\mathbb R_+) $ | | ||
| | @#55EE55: postulate | @#55EE55: $\hat\rho(E;{\bf q},{\bf p}):=\begin{cases} 1 & \mathrm{if}\ E\le H({\bf q},{\bf p})\le E+\Delta \\\\ 0 & \mathrm{else} \end{cases}$ | | | @#55EE55: postulate | @#55EE55: $\hat\rho(E;{\bf q},{\bf p}):=\begin{cases} 1 & \mathrm{if}\ E\le H({\bf q},{\bf p})\le E+\Delta \\\\ 0 & \mathrm{else} \end{cases}$ | | ||
