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- W3047200513 abstract "We formulate the dynamics of an infinitely extended open dissipative quantum system, ${Sigma]$,in the Schroedinger picture.The generic model on which this is based comprises a C*-algebra,$[cal A}$,of observables, a folium, ${cal F}$, of states on this algebra and a one parameter semigroup,${tau}$, of linear transformations of ${cal F}$ that represents its dynamics and is given by a natural infinite volume limit of the corresponding semigroup for a finite system. On this basis, we establish that the dynamic of ${Sigma}$ is given by a one parameter semigroup of completely positive transformations of the W*-star algebra dual to ${cal F}$. This result serves to extend our earlier formulation [1[ of infinitely extended conservative systems to open dissipative ones." @default.
- W3047200513 created "2020-08-10" @default.
- W3047200513 creator A5013857410 @default.
- W3047200513 date "2020-08-06" @default.
- W3047200513 modified "2023-09-27" @default.
- W3047200513 title "W*-Dynamics of Infinite Dissipative Quantum Systems" @default.
- W3047200513 hasPublicationYear "2020" @default.
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