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- W3123532893 abstract "We define a notion of quantum or non-commutative, ergodicity for a class ofC *-dynamical systems (A, G, α) which we callquantized GNS systems. Such a system possesses a natural classical limit state ω, which induces a classical limit system by the GNS construction. The criterion for quantum ergodicity is that the time average 〈A〉 of an observable A ∈A equals the “space average” ω(A)I plus an errorK which is negligible in the classical limit. We prove that ergodicity of ω is a sufficient condition for quantum ergodicity of (A, G, α) if the classical limit system is abelian, give a conditional converse, and discuss a number of applications." @default.
- W3123532893 created "2021-02-01" @default.
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- W3123532893 date "1996-04-01" @default.
- W3123532893 modified "2023-09-26" @default.
- W3123532893 title "Quantum ergodicity ofC * dynamical systems" @default.
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- W3123532893 doi "https://doi.org/10.1007/bf02101904" @default.
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