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Quantum Dynamical Systems
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Quantum Dynamical Systems

Robert Alicki and Mark Fannes

Abstract

This book presents a number of basic concepts and mathematical techniques for analyzing quantum and classical dynamical systems on an equal basis, mainly but not solely aimed at quantifying randomizing dynamical behaviour. One of the central topics is the introduction of a quantum dynamical entropy based on successive observations of the system. This leads to a symbolic model in terms of a state on a quantum spin chain and its associated entropy that quantifies the complexity of the time evolution. Several model systems are analyzed, but more realistic dynamics and scaling limits are considere ... More

Keywords: classical dynamical system, quantum dynamical system, symbolic dynamics, quantum spin chain, complex time evolution, C*-dynamical system, entropy, dynamical entropy

Bibliographic Information

Print publication date: 2001 Print ISBN-13: 9780198504009
Published to Oxford Scholarship Online: January 2010 DOI:10.1093/acprof:oso/9780198504009.001.0001

Authors

Affiliations are at time of print publication.

Robert Alicki, author
University of Gdansk

Mark Fannes, author
Instituut voor Theoretische Fysica, K. U. Leuven