Quantum Chaos, The Theory of Complexity, and Other Topics
This chapter explores the connection between quantum mechanics, the theory of particle behaviour at the atomic scale, and classical chaos. The essential issue is the behaviour of quantum systems when their classical counterparts exhibit chaotic behaviour. Even though the Schrödinger equation for the quantum wave function is a linear equation, classical chaos has several intriguing quantum counterparts. Other topics discussed are the connection between chaotic behaviour and algorithm complexity, time-delay models, stochastic resonance, the control of chaotic systems, and the synchronization of chaotic systems. A collection of references to simple experiments on systems exhibiting chaotic behaviour is also provided.
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