Aimed at graduate students and researchers in physics and mathematics, this text presents a general framework for describing quantum dynamical systems. Numerous examples illustrate systems both finite and infinite, conservative and dissipative. Alicki (physics, U. of Gdansk, Poland) and Fannes (physics, K. U. Leuven, Belgium) place particular emphasis on the use of statistical and geometrical techniques such as correlation matrices and quantum dynamical entropy. Annotation c. Book News, Inc., Portland, OR (booknews.com)
The present book provides a general framework for studying quantum and classical dynamical systems, both finite and infinite, conservative and dissipative. Special attention is paid to the use of statistical and geometrical techniques, such as multitime correlation functions, quantum dynamical entropy, and non-commutative Lyapunov exponents, for systems with a complex evolution. The material is presented in a concise but self-contained and mathematically friendly way with main ideas introduced and illustrated by numerous examples which are directly connected to the relevant physics.