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 classical_grand_canonical_ensemble [2014/03/21 11:11]127.0.0.1 external edit classical_grand_canonical_ensemble [2015/08/18 20:33] (current)nikolaj Both sides previous revision Previous revision 2015/08/18 20:33 nikolaj 2014/03/21 11:11 external edit2013/10/12 23:46 nikolaj 2013/10/12 23:32 nikolaj 2013/10/12 23:31 nikolaj 2013/10/12 23:30 nikolaj 2013/10/12 23:23 nikolaj 2013/10/12 23:21 nikolaj old revision restored (2013/10/12 22:57) 2015/08/18 20:33 nikolaj 2014/03/21 11:11 external edit2013/10/12 23:46 nikolaj 2013/10/12 23:32 nikolaj 2013/10/12 23:31 nikolaj 2013/10/12 23:30 nikolaj 2013/10/12 23:23 nikolaj 2013/10/12 23:21 nikolaj old revision restored (2013/10/12 22:57) Line 2: Line 2: ==== Set ==== ==== Set ==== | @#DDDDDD: range       | @#DDDDDD: $N\in\mathbb N$ | | @#DDDDDD: range       | @#DDDDDD: $N\in\mathbb N$ | - | @#FFBB00: definiendum | @#FFBB00: $(\ \langle \mathcal M_N, H_N,​\pi_N,​\pi_{N,​0},​{\hat\rho}_N,​{\hat\rho}_{N,​0} \rangle\ )_N \in \mathrm{it}$ | | @#FFBB00: definiendum | @#FFBB00: $(\ \langle \mathcal M_N, H_N,​\pi_N,​\pi_{N,​0},​{\hat\rho}_N,​{\hat\rho}_{N,​0} \rangle\ )_N \in \mathrm{it}$ | + | @#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 | 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. Line 9: Line 9: >todo: the $N$th manifold is a submanifold of the $N+1$'​th. >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 ​==== + === Reference === === Reference === Wikipedia: ​ Wikipedia: ​ [[https://​en.wikipedia.org/​wiki/​Grand_canonical_ensemble|Grand canonical ensemble]] [[https://​en.wikipedia.org/​wiki/​Grand_canonical_ensemble|Grand canonical ensemble]] - ==== Parents ==== + + ----- === Refinement of === === Refinement of === [[Classical canonical ensemble]] [[Classical canonical ensemble]] 