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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.
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Deterministic chaos in infinite quantum systems
1993, Springer-Verlag
in English
3540570179 9783540570172
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Includes bibliographical references (p. [213]-219) and indexes.
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