Quantum Dynamical Systems
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Quantum Dynamical Systems
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Author : Robert Alicki
language : en
Publisher: Oxford University Press on Demand
Release Date : 2001
Quantum Dynamical Systems written by Robert Alicki and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The present book provides a unified and 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. The main ideas are introduced and illustrated by numerous examples which are directly connected to therelevant physics. Suggestions for further reading are included at the end of each chapter. The book addresses graduate students both in physics and mathematics with interests in mathematical aspects of quantum physics and applications of ergodic theory, operator algebras and statistics to physics,but without any prior knowledge of these subjects.
The Complexity Of Dynamical Systems
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Author : Johan Dubbeldam
language : en
Publisher: John Wiley & Sons
Release Date : 2011-02-21
The Complexity Of Dynamical Systems written by Johan Dubbeldam and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-21 with Science categories.
Written by recognized experts, this edited book covers recent theoretical, experimental and applied issues in the growing fi eld of Complex Systems and Nonlinear Dynamics. It is divided into two parts, with the first section application based, incorporating the theory of bifurcation analysis, numerical computations of instabilities in dynamical systems and discussing experimental developments. The second part covers the broad category of statistical mechanics and dynamical systems. Several novel exciting theoretical and mathematical insights and their consequences are conveyed to the reader.
Proceedings Of The Conference On Advances In Dynamical Systems And Quantum Physics
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Author : Conference on Advances in Dynamical Systems and Quantum Physics 1993, Capri, Italy
language : en
Publisher: World Scientific
Release Date : 1995
Proceedings Of The Conference On Advances In Dynamical Systems And Quantum Physics written by Conference on Advances in Dynamical Systems and Quantum Physics 1993, Capri, Italy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Quantum field theory categories.
This volume contains contributions from the meeting held in honour of G.F. Dell'Antonio for his sixtieth birthday. The topics covered include the theory of classical and quantum dynamical systems and related mathematical disciplines such as functional and stochastic analysis, operator algebras etc. The contributions by leading specialists survey recent developments in Hamiltonian dynamics, non-commutative integration, supersymmetric theories, spin glass theory and other subjects in mathematical physics.
Perspectives In Dynamical Systems Ii Mathematical And Numerical Approaches
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Nature
Release Date : 2022-01-01
Perspectives In Dynamical Systems Ii Mathematical And Numerical Approaches written by Jan Awrejcewicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Mathematics categories.
This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference “Dynamical Systems: Theory and Applications”, held in Łódź, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.
Dynamics Information And Complexity In Quantum Systems
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Author : Fabio Benatti
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-17
Dynamics Information And Complexity In Quantum Systems written by Fabio Benatti 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 2009-04-17 with Computers categories.
This book offers a self-contained overview of the entropic approach to quantum dynamical systems. In it, complexity in quantum dynamics is addressed by comparison with the classical ergodic, information, and algorithmic complexity theories.
Dynamical Systems
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Author : Simon Diner
language : en
Publisher: World Scientific
Release Date : 1986
Dynamical Systems written by Simon Diner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
This book commemorates the centenary of the birth of Georges David Birhoff, the father of the theory of Dynamical Systems. It consists of a volume of dedicated papers, reflecting the intellectual revolution of his work. This book is divided into four parts: Fundamental Paradigms ? Chaos, Turbulence, Attractors, Bifurcations; Dynamical Systems and Microphysics; Self-Organization and Biological Dynamical Systems; Epistemology and History.
A Dynamical Systems Theory Of Thermodynamics
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Author : Wassim M. Haddad
language : en
Publisher: Princeton University Press
Release Date : 2019-06-04
A Dynamical Systems Theory Of Thermodynamics written by Wassim M. Haddad and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-04 with Mathematics categories.
A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.
Memcomputing
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Author : Massimiliano Di Ventra
language : en
Publisher: Oxford University Press
Release Date : 2022
Memcomputing written by Massimiliano Di Ventra and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Computers categories.
This book explains the main ideas behind MemComputing, its theoretical foundations and its applicability to a wide variety of combinatorial optimization problems, machine learning, and quantum mechanics.
Unconventional Computation
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Author : Selim G. Akl
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-25
Unconventional Computation written by Selim G. Akl 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 2007-07-25 with Computers categories.
This book constitutes the refereed proceedings of the 6th International Conference on Unconventional Computation, UC 2007, held in Kingston, Canada, in August 2007. The 17 revised full papers presented together with 4 invited papers were carefully reviewed and selected for inclusion in the book. All current aspects of unconventional computation are addressed - theory as well as experiments and applications. Typical topics are: natural computing including quantum, cellular, molecular, neural and evolutionary computing; chaos and dynamical systems based computing; and various proposals for computations that go beyond the Turing model.
Nonlinear Dynamics And Quantum Chaos
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Author : Sandro Wimberger
language : en
Publisher: Springer
Release Date : 2014-05-13
Nonlinear Dynamics And Quantum Chaos written by Sandro Wimberger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-13 with Science categories.
The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.