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classical_microcanonical_ensemble [2013/11/05 18:38]
nikolaj
classical_microcanonical_ensemble [2014/03/21 11:11]
127.0.0.1 external edit
Line 1: Line 1:
 ===== Classical microcanonical ensemble === ===== Classical microcanonical ensemble ===
-==== Definition ​==== +==== Set ==== 
-| @#88DDEE: $ \Delta \in \mathbb R_+ $ |+| @#55CCEE: context ​    | @#55CCEE: $ \Delta \in \mathbb R_+ $ |
  
-| @#FFBB00: $ \langle \mathcal M, H,​{\hat\rho},​{\hat\rho}_0\rangle \in \mathrm{it} $ |+| @#FFBB00: definiendum ​| @#FFBB00: $ \langle \mathcal M, H,​{\hat\rho}\rangle \in \mathrm{it} $ |
  
-| @#55EE55: $\langle \mathcal M, H,​{\hat\rho},​{\hat\rho}_0\rangle$ ... classical statistical ensemble |+| @#55EE55: postulate ​  | @#55EE55: $\langle \mathcal M, H,​{\hat\rho}\rangle$ ... classical statistical ensemble |
  
  
-| @#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: $\hat\rho(E;​{\bf q},{\bf p}):​=\begin{cases} 1 & \mathrm{if}\ E\le H({\bf q},{\bf p})\le E+\Delta \\\\ 0 & \mathrm{else} \end{cases}$ |+| @#55EE55: postulate ​  | @#55EE55: $\hat\rho(E;​{\bf q},{\bf p}):​=\begin{cases} 1 & \mathrm{if}\ E\le H({\bf q},{\bf p})\le E+\Delta \\\\ 0 & \mathrm{else} \end{cases}$ |
  
 ==== Discussion ==== ==== Discussion ====
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