M. Ohya - Böcker
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3 produkter
3 produkter
Del 86 - Fundamental Theories of Physics
Information Dynamics and Open Systems
Classical and Quantum Approach
Inbunden, Engelska, 1997
2 117 kr
Skickas inom 10-15 vardagar
This text aims to present an information-theoretical approach to thermodynamics and its generalizations. On the one hand, it generalizes the concept of "information thermodynamics" to that of "information dynamics" in order to stress applications outside thermal phenomena. On the other hand, it is a synthesis of the dynamics of state change and the theory of complexity, which provide a common framework to treat both physical and nonphysical systems together. Both classical and quantum systems are discussed, and two appendices are included to explain principal definitions and some important aspects of the theory of Hilbert spaces and operator algebras. The concept of higher-order temperatures is explained and applied to biological and linguistic systems. The theory of open systems is presented in a new, much more general form.
851 kr
Skickas inom 10-15 vardagar
This monograph, by now a standard reference in the field, provides a complete overview of quantum entropy theory, from the early days of quantum mechanics up to the most recent developments. It employs mathematical formalism based on operator theory and functional analysis with a goal of creating a comprehensive account of the different entropy concepts, their interrelations and use. Among the ideas discussed are entropy of a quantum state, relative entropy, mutual entropy, entropy of a coarse graining and dynamical entropy. Numerous fundamental properties of quantum information measurement are developed, including the von Neumann entropy of a statistical operator and its limiting normalized version, the entropy rate. Use of quantum-entropy quantities is made in perturbation theory, central limit theorems, thermodynamics of spin systems, entropic uncertainty relations, and optical communication. This new softcover corrected reprint contains summaries of recent developments added to the ends of the chapters.
Del 86 - Fundamental Theories of Physics
Information Dynamics and Open Systems
Classical and Quantum Approach
Häftad, Engelska, 2010
2 117 kr
Skickas inom 10-15 vardagar
This book aims to present an information-theoretical approach to thermodynamics and its generalisations. On the one hand, it generalises the concept of 'information thermodynamics' to that of 'information dynamics' in order to stress applications outside thermal phenomena. On the other hand, it is a synthesis of the dynamics of state change and the theory of complexity, which provide a common framework to treat both physical and nonphysical systems together. Both classical and quantum systems are discussed, and two appendices are included to explain principal definitions and some important aspects of the theory of Hilbert spaces and operator algebras. The concept of higher-order temperatures is explained and applied to biological and linguistic systems. The theory of open systems is presented in a new, much more general form. Audience: This volume is intended mainly for theoretical and mathematical physicists, but also for mathematicians, experimental physicists, physical chemists, theoretical biologists, communication engineers, and all those interested in entropy and open systems. It can also be recommended as a supplementary text.