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