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classical_canonical_ensemble [2014/03/21 11:11]
127.0.0.1 external edit
classical_canonical_ensemble [2015/08/18 20:30] (current)
nikolaj
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 ==== Set ==== ==== Set ====
 | @#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: $\langle \mathcal M, H,​{\hat\rho},​{\hat\rho}_0\rangle$ ... classical statistical ensemble | | @#55EE55: postulate ​  | @#55EE55: $\langle \mathcal M, H,​{\hat\rho},​{\hat\rho}_0\rangle$ ... 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: $\hat\rho(\beta;​{\bf q},{\bf p}):​=\mathrm{e}^{-\beta\ H({\bf q},{\bf p})}$ | | @#55EE55: postulate ​  | @#55EE55: $\hat\rho(\beta;​{\bf q},{\bf p}):​=\mathrm{e}^{-\beta\ H({\bf q},{\bf p})}$ |
  
-==== Discussion ​====+----- 
 +=== Discussion ===
 == Equivalence of the microcanonical and canonical ensemble == == Equivalence of the microcanonical and canonical ensemble ==
  
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 Wikipedia: ​ Wikipedia: ​
 [[http://​en.wikipedia.org/​wiki/​Microcanonical_ensemble|Canonical ensemble]], [[http://​en.wikipedia.org/​wiki/​Maxwell%E2%80%93Boltzmann_statistics|Maxwell–Boltzmann statistics]] [[http://​en.wikipedia.org/​wiki/​Microcanonical_ensemble|Canonical ensemble]], [[http://​en.wikipedia.org/​wiki/​Maxwell%E2%80%93Boltzmann_statistics|Maxwell–Boltzmann statistics]]
-==== Parents ====+ 
 +-----
 === Refinement of === === Refinement of ===
 [[Classical statistical ensemble]] [[Classical statistical ensemble]]
 === Context === === Context ===
 [[Exponential function]] [[Exponential function]]
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