Hyperbolic Flows and the Question of Quantum Chaos

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.

This article is based on a lecture in the G. G. Emch Memorial Session of the XXXIV Workshop on Geometric Methods in Physics, held in Bialowieza, Poland over the period 28 June to 4 July, 2015