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.
The present book provides a general framework for studying quantum and classical dynamical systems, both finite and infinite, conservative and dissipa...
This multi-authored textbook addresses graduate students with a background in physics, mathematics or computer science. No research experience is necessary.Consequently, rather than comprehensively reviewing the vast body of knowledge and literature gathered in the past twenty years, this book concentrates on a number of carefully selected aspects of quantum information theory and technology.Given the highly interdisciplinary nature of the subject, the multi-authored approach brings together different points of view from various renowned experts, providing a coherent picture of the subject...
This multi-authored textbook addresses graduate students with a background in physics, mathematics or computer science. No research experience is nece...
Proceedings of a workshop in Leuven, Belgium, in July 1993. Topics include quantum kinetic equations, microscopic derivation of hydrodynamics with phase transition in a plasma model, Feynman diagrams of the weak coupling limit, stochastic geometric aspects of some quantum spin chains, the two specie
Proceedings of a workshop in Leuven, Belgium, in July 1993. Topics include quantum kinetic equations, microscopic derivation of hydrodynamics with pha...
This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro- phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of...
This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and ma...
