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classical_microcanonical_phase_volume [2014/03/21 11:11]
127.0.0.1 external edit
classical_microcanonical_phase_volume [2015/08/16 14:18] (current)
nikolaj
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 | @#55CCEE: context ​    | @#55CCEE: $ \mathrm{dim}(\mathcal M) = 3N $ | | @#55CCEE: context ​    | @#55CCEE: $ \mathrm{dim}(\mathcal M) = 3N $ |
 | @#55CCEE: context ​    | @#55CCEE: $ \hbar$ ... Reduced Planck'​s constant |  | @#55CCEE: context ​    | @#55CCEE: $ \hbar$ ... Reduced Planck'​s constant | 
- 
 | @#FFBB00: definiendum | @#FFBB00: $\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 $ | | @#FFBB00: definiendum | @#FFBB00: $\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 $ |
  
-==== Discussion ​====+----- 
 +=== Discussion ===
 === Alternative definitions === === Alternative definitions ===
  
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 And here we see that this is the analog of [[Classical canonical partition function]] for the [[Classical canonical ensemble]]. And here we see that this is the analog of [[Classical canonical partition function]] for the [[Classical canonical ensemble]].
-==== Parents ====+ 
 +-----
 === Context === === Context ===
 [[Classical microcanonical ensemble]] [[Classical microcanonical ensemble]]
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