The structure (A,r), with A an involutive algebra which is an inductive union of an increasing family of C* algebras with unity and r a positive normalized state on it, arises in Statistical mechanics. We investigate properties of operators which generate a dynamical evolution on the algebras in the case of classical mechanics disccussing the theory and showing that it can be viewed as the limit as h->0 of the corresponding theory for the quantum statistical mechanics (which is based on the Tomita-Takesaki theory).
Classical KMS condition and Tomita--Takesaki theory / Gallavotti, Giovanni. - In: ASTÉRISQUE. - ISSN 0303-1179. - STAMPA. - 40:(1976), pp. 89-94.
Classical KMS condition and Tomita--Takesaki theory
GALLAVOTTI, Giovanni
1976
Abstract
The structure (A,r), with A an involutive algebra which is an inductive union of an increasing family of C* algebras with unity and r a positive normalized state on it, arises in Statistical mechanics. We investigate properties of operators which generate a dynamical evolution on the algebras in the case of classical mechanics disccussing the theory and showing that it can be viewed as the limit as h->0 of the corresponding theory for the quantum statistical mechanics (which is based on the Tomita-Takesaki theory).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
