 95230 Graffi S., Martinez A.
 An Example of a Quantum Ergodic System
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May 25, 95

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Abstract. We prove that the time average over the quantum evolution of a system of infinitely many
harmonic oscillators whose classical flow is ergodic with respect to the Gibbs measure has a limit
equal to the relevant classical phase average, and therefore independent of the initial state
provided it belongs to the image of the quantum Gibbs measure.
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