Quantum Dynamical Semigroups And Applications


Quantum Dynamical Semigroups And Applications
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Quantum Dynamical Semigroups And Applications


Quantum Dynamical Semigroups And Applications
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Author : Robert Alicki
language : en
Publisher: Springer
Release Date : 2007-04-03

Quantum Dynamical Semigroups And Applications written by Robert Alicki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-03 with Science categories.


Reinvigorated by advances and insights the quantum theory of irreversible processes has recently attracted growing attention. This volume introduces the very basic concepts of semigroup dynamics of open quantum systems and reviews a variety of modern applications. Originally published as Volume 286 (1987) in Lecture in Physics, this volume has been newly typeset, revised and corrected and also expanded to include a review on recent developments.



Quantum Dynamical Semigroups And Applications


Quantum Dynamical Semigroups And Applications
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Author : Robert Alicki
language : en
Publisher: Springer
Release Date : 1987-09-23

Quantum Dynamical Semigroups And Applications written by Robert Alicki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-09-23 with Computers categories.


Reinvigorated by advances and insights, in particular from the active fields of quantum information and computing, the quantum theory of irreversible processes has recently attracted growing attention. This volume introduces the very basic concepts of semigroup dynamics of open quantum systems and reviews a variety of modern applications. The present book, originally published as Vol. 286 (1987) in Lecture in Physics, has been newly typeset, revised and corrected and also expanded to include a review on recent developments.



Open Quantum Systems Iii


Open Quantum Systems Iii
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Author : Stéphane Attal
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-07

Open Quantum Systems Iii written by Stéphane Attal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-07 with Mathematics categories.


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.



Open Quantum Systems Ii


Open Quantum Systems Ii
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Author : Stéphane Attal
language : en
Publisher: Springer
Release Date : 2006-08-29

Open Quantum Systems Ii written by Stéphane Attal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-29 with Mathematics categories.


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. Significant progress in the understanding of such systems has been made recently. These books present the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications.



Semigroups Of Linear Operators


Semigroups Of Linear Operators
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Author : David Applebaum
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-31

Semigroups Of Linear Operators written by David Applebaum and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-31 with Mathematics categories.


The theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of Hille-Yosida and Lumer-Phillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applications and further developments of the theory. This includes a description of how semigroups are used to solve parabolic partial differential equations, applications to Levy and Feller-Markov processes, Koopmanism in relation to dynamical systems, quantum dynamical semigroups, and applications to generalisations of the Riemann-Liouville fractional integral. Along the way the reader encounters several important ideas in modern analysis including Sobolev spaces, pseudo-differential operators and the Nash inequality.



Quantum Independent Increment Processes I


Quantum Independent Increment Processes I
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Author : David Applebaum
language : en
Publisher: Springer
Release Date : 2005-09-14

Quantum Independent Increment Processes I written by David Applebaum and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-14 with Mathematics categories.


This volume is the first of two volumes containing the revised and completed notes lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics". This school was held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald during the period March 9 – 22, 2003, and supported by the Volkswagen Foundation. The school gave an introduction to current research on quantum independent increment processes aimed at graduate students and non-specialists working in classical and quantum probability, operator algebras, and mathematical physics. The present first volume contains the following lectures: "Lévy Processes in Euclidean Spaces and Groups" by David Applebaum, "Locally Compact Quantum Groups" by Johan Kustermans, "Quantum Stochastic Analysis" by J. Martin Lindsay, and "Dilations, Cocycles and Product Systems" by B.V. Rajarama Bhat.



Quantum Probability And Related Topics


Quantum Probability And Related Topics
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Author :
language : en
Publisher:
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Quantum Probability And Related Topics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Operator Semigroups Meet Complex Analysis Harmonic Analysis And Mathematical Physics


Operator Semigroups Meet Complex Analysis Harmonic Analysis And Mathematical Physics
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Author : Wolfgang Arendt
language : en
Publisher: Birkhäuser
Release Date : 2015-12-10

Operator Semigroups Meet Complex Analysis Harmonic Analysis And Mathematical Physics written by Wolfgang Arendt and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-10 with Mathematics categories.


This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor. The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event. They will be a valuable and inspiring source of information for graduate students and established researchers.



Open Systems And Measurement In Relativistic Quantum Theory


Open Systems And Measurement In Relativistic Quantum Theory
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Author : Heinz-Peter Breuer
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-06-21

Open Systems And Measurement In Relativistic Quantum Theory written by Heinz-Peter Breuer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-21 with Science categories.


This book treats modern aspects of open systems, measurement, and decoherence in relativistic quantum theory. It starts with a comprehensive introduction to the problems related to measuring local and nonlocal observables and the constraints imposed by the causality principle. In the articles that follow, the emphasis lies on new theoretical models. Quantum dynamical semigroups and stochastic processes in Hilbert space are introduced, as are dynamical reduction models. Further topics include relativistic generalizations of the continuous spontaneous localization model and of the quantum state diffusion model and decoherence and the dynamical selection of preferred basis sets in the framework of continuous measurement theory and of the decoherent histories approach. Mathematical aspects of quantum measurement theory and dynamical entropies are also studied from the viewpoint of the operational approach to quantum mechanics.



Quantum Stochastics


Quantum Stochastics
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Author : Mou-Hsiung Chang
language : en
Publisher: Cambridge University Press
Release Date : 2015-02-19

Quantum Stochastics written by Mou-Hsiung Chang and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-19 with Language Arts & Disciplines categories.


This book provides a systematic, self-contained treatment of the theory of quantum probability and quantum Markov processes for graduate students and researchers. Building a framework that parallels the development of classical probability, it aims to help readers up the steep learning curve of the quantum theory.