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classical_grand_canonical_ensemble [2013/10/12 23:32] nikolaj |
classical_grand_canonical_ensemble [2014/03/21 11:11] 127.0.0.1 external edit |
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| ===== Classical grand canonical ensemble === | ===== Classical grand canonical ensemble === | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#DDDDDD: $ N\in\mathbb N $ | | + | | @#DDDDDD: range | @#DDDDDD: $ N\in\mathbb N $ | |
| - | | @#FFBB00: $ (\ \langle \mathcal M_N, H_N,\pi_N,\pi_{N,0},{\hat\rho}_N,{\hat\rho}_{N,0} \rangle\ )_N \in \mathrm{it} $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ (\ \langle \mathcal M_N, H_N,\pi_N,\pi_{N,0},{\hat\rho}_N,{\hat\rho}_{N,0} \rangle\ )_N \in \mathrm{it} $ | |
| A sequence of phase spaces with their partition functions, one for each particle number. | A sequence of phase spaces with their partition functions, one for each particle number. | ||
| - | | @#55EE55: $\forall N.\ \langle \mathcal M_N, H_N,\pi_N,\pi_{N,0},{\hat\rho}_N,{\hat\rho}_{N,0} \rangle$ ... classical canonical ensemble | | + | >todo: the $N$th manifold is a submanifold of the $N+1$'th. |
| + | |||
| + | | @#55EE55: postulate | @#55EE55: $\forall N.\ \langle \mathcal M_N, H_N,\pi_N,\pi_{N,0},{\hat\rho}_N,{\hat\rho}_{N,0} \rangle$ ... classical canonical ensemble | | ||
| ==== Discussion ==== | ==== Discussion ==== | ||
