Information Dynamics and Open Systems: Classical and Quantum ApproachSpringer Science & Business Media, 11 нояб. 2013 г. - Всего страниц: 310 This book has a long history of more than 20 years. The first attempt to write a monograph on information-theoretic approach to thermodynamics was done by one of the authors (RSI) in 1974 when he published, in the preprint form, two volumes of the book "Information Theory and Thermodynamics" concerning classical and quantum information theory, [153] (220 pp.), [154] (185 pp.). In spite of the encouraging remarks by some of the readers, the physical part of this book was never written except for the first chapter. Now this material is written completely anew and in much greater extent. A few years earlier, in 1970, second author of the present book, (AK), a doctoral student and collaborator of RSI in Toruli, published in Polish, also as a preprint, his habilitation dissertation "Information-theoretical decision scheme in quantum statistical mechanics" [196] (96 pp.). This small monograph presented his original results in the physical part of the theory developed in the Torun school. Unfortunately, this preprint was never published in English. The present book contains all these results in a much more modern and developed form. |
Содержание
Classical Entropy | 21 |
5 | 41 |
vi | 48 |
8 | 56 |
3 | 67 |
4 | 73 |
6 | 81 |
7 | 92 |
Information Thermodynamics I | 121 |
Information Thermodynamics II | 165 |
Open Systems | 195 |
Fractals with Information | 229 |
Appendix 1 | 263 |
Appendix 2 | 277 |
287 | |
301 | |
Другие издания - Просмотреть все
Information Dynamics and Open Systems: Classical and Quantum Approach Roman S. Ingarden,A. Kossakowski,M. Ohya Недоступно для просмотра - 1997 |
Information Dynamics and Open Systems: Classical and Quantum Approach Roman S. Ingarden,A. Kossakowski,M. Ohya Недоступно для просмотра - 1997 |
Information Dynamics and Open Systems: Classical and Quantum Approach Roman S. Ingarden,A. Kossakowski,M. Ohya Недоступно для просмотра - 2010 |
Часто встречающиеся слова и выражения
A-macrostate A₁ B₁ Borel C*-algebra called Chap classical completely positive complexity concept convex defined definition denoted density operator discrete discuss dynamical semigroup eigenvalues entropy production equal equations exists ɛ-entropy finite formulation fractal dimensions function Gaussian measure given H₁ Hamiltonian Hilbert space incomplete inequality infinite information dynamics information theory input ISBN LEMMA linear response macroscopic macrostate mathematical mean values modal mutual entropy Neumann algebra norm normal observables obtain orthogonal output p₁ physical probability distribution probability measures Proof properties quantum systems random variable relative entropy Rényi resp respect satisfying Schatten decomposition selfadjoint semigroup sequence Shannon Shannon entropy space H spectral statistical subset temperature THEOREM thermodynamics topology trace class transformation trp log unique unitary Von Neumann algebra Von Neumann entropy