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Open quantum systems. I / Attal, Stéphane
Titre : Open quantum systems. I : The Hamiltonian approach Type de document : texte imprimé Auteurs : Attal, Stéphane Editeur : Springer Année de publication : 2006 Importance : 1 vol. (329 p.) Format : 24cm ISBN/ISSN/EAN : 978-3-540-30991-8 Note générale : 978-3-540-30991-8 Langues : Anglais (eng) Catégories : Physique Mots-clés : Systèmes ouverts (physique)
Théorie quantiqueIndex. décimale : 530 Physique Résumé :
Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements.Note de contenu :
Sommaire
ntroduction to the Theory of Linear Operators
Introduction to Quantum Statistical Mechanics
Elements of Operator Algebras and Modular Theory
Quantum Dynamical System
The Ideal Quantum Gas
Côte titre : Fs/14079-14080 Open quantum systems. I : The Hamiltonian approach [texte imprimé] / Attal, Stéphane . - [S.l.] : Springer, 2006 . - 1 vol. (329 p.) ; 24cm.
ISBN : 978-3-540-30991-8
978-3-540-30991-8
Langues : Anglais (eng)
Catégories : Physique Mots-clés : Systèmes ouverts (physique)
Théorie quantiqueIndex. décimale : 530 Physique Résumé :
Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements.Note de contenu :
Sommaire
ntroduction to the Theory of Linear Operators
Introduction to Quantum Statistical Mechanics
Elements of Operator Algebras and Modular Theory
Quantum Dynamical System
The Ideal Quantum Gas
Côte titre : Fs/14079-14080 Exemplaires (2)
Code-barres Cote Support Localisation Section Disponibilité Fs/14079 Fs/14079-14080 livre Bibliothéque des sciences Anglais Disponible
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DisponibleOpen quantum systems. II / Attal, Stéphane
Titre : Open quantum systems. II : The Markovian approach Type de document : texte imprimé Auteurs : Attal, Stéphane Editeur : Springer Année de publication : 2006 Importance : 1 vol. (239 p.) Format : 24 cm ISBN/ISSN/EAN : 978-3-540-30992-5 Note générale : 978-3-540-30992-5 Langues : Anglais (eng) Catégories : Physique Mots-clés : Systèmes ouverts (physique)
Théorie quantiqueIndex. décimale : 530 Physique Résumé :
Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications.
In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems.
Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications.
Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements.Note de contenu :
Sommaire
Ergodic Properties of Markov Processes
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Open Classical System
Preview Buy Chapter
Quantum Noises
Preview Buy Chapter
Complete Positivity and the Markov structure of Open Quantum Systems
Rebolledo, Rolando
Preview Buy Chapter
Quantum Stochastic Differential Equations and Dilation of Completely Positive Semigroups
Preview Buy Chapter
Read this book on SpringerLink
Download Table of contents PDF
link to C.-A. Pillet
link to S. AttalCôte titre : Fs/14081-14082 Open quantum systems. II : The Markovian approach [texte imprimé] / Attal, Stéphane . - [S.l.] : Springer, 2006 . - 1 vol. (239 p.) ; 24 cm.
ISBN : 978-3-540-30992-5
978-3-540-30992-5
Langues : Anglais (eng)
Catégories : Physique Mots-clés : Systèmes ouverts (physique)
Théorie quantiqueIndex. décimale : 530 Physique Résumé :
Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications.
In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems.
Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications.
Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements.Note de contenu :
Sommaire
Ergodic Properties of Markov Processes
Preview Buy Chapter
Open Classical System
Preview Buy Chapter
Quantum Noises
Preview Buy Chapter
Complete Positivity and the Markov structure of Open Quantum Systems
Rebolledo, Rolando
Preview Buy Chapter
Quantum Stochastic Differential Equations and Dilation of Completely Positive Semigroups
Preview Buy Chapter
Read this book on SpringerLink
Download Table of contents PDF
link to C.-A. Pillet
link to S. AttalCôte titre : Fs/14081-14082 Exemplaires (2)
Code-barres Cote Support Localisation Section Disponibilité Fs/14081 Fs/14081-14082 livre Bibliothéque des sciences Anglais Disponible
DisponibleFs/14082 Fs/14081-14082 livre Bibliothéque des sciences Anglais Disponible
Disponible