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Hyperbolic Flows and the Question of Quantum Chaos

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Book cover Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

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Abstract

Hyperbolic flows, as formulated by Anosov, are the prototypes of chaotic evolutions in classical dynamical systems. Here we provide a concise updated account of their quantum counterparts originally formulated by Emch, Narnhofer, Thirring and Sewell within the operator algebraic setting of quantum theory; and we discuss their bearing on the question of quantum chaos.

To the Memory of Gérard Emch

Mathematics Subject Classification (2010). 37E35,81Q50.

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Correspondence to Geoffrey L. Sewell .

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© 2016 Springer International Publishing Switzerland

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Sewell, G.L. (2016). Hyperbolic Flows and the Question of Quantum Chaos. In: Kielanowski, P., Ali, S., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-31756-4_6

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