Title: Deterministic chaos in infinite quantum systems
Description: The concept of entropy as established by Kolmogorov and Sinai turned out to be a useful tool in classical ergodic theory, especially for studying the irregular behaviour of systems. Recently an analogous concept of (non-commutative) entropy for infinite quantum systems was introduced using the algebraic framework of operator algebras. This book, which gives all the definitions and many examples, is a detailed review of this recent work. It compares classical and quantum random behaviour. The notion of quantum chaos is discussed in detail. The book is a review of important work still in progress; it addresses researchers and graduate students.
Subjects: Deterministic chaos, Entropy (Information theory), Quantum chaos, Quantum theory, Thermodynamics, Physics, Chaotic behavior in systems, Dynamical Systems and Complexity Statistical Physics, Spintronics Quantum Information Technology