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grand_canonical_expectation_value [2013/10/13 15:14] nikolaj |
grand_canonical_expectation_value [2013/10/13 16:22] nikolaj |
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| ==== 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 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 function 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]] | ||
