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grand_canonical_expectation_value [2013/10/13 16:18]
nikolaj
grand_canonical_expectation_value [2013/10/13 16:22]
nikolaj
Line 9: Line 9:
 ==== Discussion ==== ==== Discussion ====
 We adopt the names of observables in canonical ensamble for the grand canonical ensamble. For example, if the internal energy in the canonical ensamble is defined as $U=\langle H\rangle$, then the grand canonical expectation value of the energy is denoted by $U$ as well and if formed from the sequence of all the $N$-particle Hamiltonians $H_N$. We adopt the names of observables in canonical ensamble for the grand canonical ensamble. For example, if the internal energy in the canonical ensamble is defined as $U=\langle H\rangle$, then the grand canonical expectation value of the energy is denoted by $U$ as well and if formed from the sequence of all the $N$-particle Hamiltonians $H_N$.
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 +We also extend functions $f$ of classical canonical observables to such sequences. I.e. if $A$ has $A_N$, then $f(A)$ has entries $f(A_N)$.
 ==== Parents ==== ==== Parents ====
 === Requirements === === Requirements ===
 [[Grand canonical weight]] [[Grand canonical weight]]
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