Key equations from quantum statistical tools: Difference between revisions

Revision as of 12:52, 27 September 2012

$A=\mathrm {Tr} [{\hat {\rho }}_{\mathrm {eq} }{\hat {A}}]$

${\hat {\rho }}_{\mathrm {eq} }=\sum _{\alpha }f(E_{\alpha }-\mu )|E_{\alpha }\rangle \langle E_{\alpha }|$

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 ==Equilibrium==
-* Expectation values:
+===Expectation values===
-* Density matrix of fermions in equilibrium:
+<math> A = \mathrm{Tr}[\hat{\rho}_\mathrm{eq} \hat{A}] </math>
-* Charge density:
+===Density matrix of fermions in equilibrium===
-* Density of states:
+<math> \hat{\rho}_\mathrm{eq}=\sum_\alpha f(E_\alpha-\mu)|E_\alpha\rangle \langle E_\alpha| </math>
+===Charge density===
+===Density of states===
 ==Nonequilibrium==