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KMS condition in a Schrödinger picture of the dynamics

H. Roos

Physica A: Statistical Mechanics and its Applications, 1980, vol. 100, issue 1, 183-195

Abstract: Given the C∗-algebra A of observables, the KMS condition is formulated in terms of the time evolution α∗t of a set S0 ⊂ S(A) of “physical” states subject to certain natural conditions. α∗t need not be defined by an automorphism group of A. It is shown that, for a KMS state ω, α∗t induces a ∗-automorphism αωt of the von Neumann algebra πω(A)″ generated by the representation πω belonging to ω.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:100:y:1980:i:1:p:183-195

DOI: 10.1016/0378-4371(80)90158-2

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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