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Book synopsis

The leading theme of the book is complexity in quantum dynamics. This issue is addressed by comparison with the classical ergodic, information and algorithmic complexity theories.§Of particular importance is the notion of Kolmogorov-Sinai dynamical entropy and of its inequivalent quantum extensions formulated by Connes, Narnhofer and Thirring on one hand and Alicki and Fannes on the other. Their connections with extensions to quantum systems of Kolmogorov-Chaitin-Solomonoff algorithmic complexity theory is also presented. The technical tools employed are those of the algebraic approach to quantum statistical mechanics which offers a unifying view of classical and quantum dynamical systems. Proofs and examples are provided in order to make the presentation self consistent.

Book details

Book category Books in English Mathematics & science Physics Quantum physics (quantum mechanics & quantum field theory)

• Full title: Dynamics, Information and Complexity in Quantum Systems
• Author: Fabio Benatti
• Language: English
• Binding: Hardback
• Number of pages: 536
• EAN: 9781402093050
• ISBN: 1402093055
• ID: 01418723
• Publisher: Springer-Verlag New York Inc.
• Weight: 2070 g
• Dimensions: 235 × 155 × 35 mm
• Date of publishing: 04. May 2009

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