Quantum dynamical systems

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. This 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. (Midwest) Providing a unified and general framework for studying quantum and classical dynamical systems, both finite and infinite conservative and dissipative, this text pays special attention to the use of statistical and geometrical techniques. Ask a physicist to write down a single formula which embraces the very essence of quantum mechanics, then with a large probability-probability is an inevitable word in quantum mechanics-you will see.