Long Time Behaviour Of Classical And Quantum Systems
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Long Time Behaviour Of Classical And Quantum Systems Proceedings Of The Bologna Aptex International Conference
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Author : Sandro Graffi
language : en
Publisher: World Scientific
Release Date : 2001-04-02
Long Time Behaviour Of Classical And Quantum Systems Proceedings Of The Bologna Aptex International Conference written by Sandro Graffi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-02 with Science categories.
This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques.
Long Time Behaviour Of Classical And Quantum Systems
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Author : Sandro Graffi
language : en
Publisher: World Scientific
Release Date : 2001
Long Time Behaviour Of Classical And Quantum Systems written by Sandro Graffi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques.
Long Time Behaviour Of Classical And Quantum Systems
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Author : Sandro Graffi
language : en
Publisher: World Scientific
Release Date : 2001
Long Time Behaviour Of Classical And Quantum Systems written by Sandro Graffi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
Return to equilibrium in classical and quantum systems / Carlangelo Liverani -- Quantum resonances and trapped trajectories / Johannes Sjostrand -- Return to thermal equilibrium in quantum statistical mechanics / Volker Bach -- Small oscillations in some nonlinear PDE's / Dario Bambusi and Simone Paleari -- The semi-classical Van-Vleck Formula. Application to the Aharonov-Bohm effect / Jean-Marie Bily and Didier Robert -- Fractal dimensions and quantum evolution associated with sparse potential Jacobi matrices / Jean-Michel Combes and Giorgio Mantica -- Infinite step billiards / Mirko Degli Esposti -- Semiclassical expansion for the thermodynamic limit of the ground state energy of Kac's operator / Bernard Helffer and Thierry Ramond -- Asymptotics of scattering poles for two strictly convex obstacles / Mitsuru Ikawa -- Parabolic dynamical systems and inducing / Stefano Isola -- QFT for scalar particles in external fields on Riemannian manifolds / Hiroshi Isozaki -- Existence and born-Oppenheimer Asymptotics of the total scattering cross-section in ion-atom collisions / Thierry Jecko, Markus Klein and Xue Ping Wang -- On asymptotic perturbation theory for quantum mechanics / Gheorghe Nenciu -- Destruction of the beating effect in a periodically driven double-well / Andrea Sacchetti -- Berezin-Toeplitz quantization and Berezin transform / Martin Schlichenmaier.
Chaotic Behavior In Quantum Systems
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Author : Giulio Casati
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Chaotic Behavior In Quantum Systems written by Giulio Casati 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 2012-12-06 with Science categories.
Six years ago, in June 1977, the first international conference on chaos in classical dynamical systems took place here in Como. For the first time, physicists, mathematicians, biologists, chemists, economists, and others got together to discuss the relevance of the recent progress in nonlinear classical dynamics for their own research field. Immediately after, pUblication of "Nonlinear Science Abstracts" started, which, in turn, led to the Physica D Journal and to a rapid increase of the research activity in the whole area with the creation of numerous "Nonlinear Centers" around the world. During these years great progress has been made in understanding the qualitative behavior of classical dynamical systems and now we can appreciate the beautiful complexity and variety of their motion. Meanwhile, an increasing number of scientists began to wonder whether and how such beautiful structures would persist in quantum motion. Indeed, mainly integrable systems have been previously con sidered by Quantum Mechanics and therefore the problem is open how to describe the qualitative behavior of systems whose classical limit is non-integrable. The present meeting was organized in view of the fact that scientists working in different fields - mathematicians, theoretical physicists, solid state physicists, nuclear physicists, chemists and others - had common problems. Moreover, we felt that it was necessary to clarify some fundamental questions concerning the logical basis for the discussion including the very definition of chaos in Quantum Mechanics.
Quantum Mechanics
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Author : Mark Julian Everitt
language : en
Publisher: John Wiley & Sons
Release Date : 2023-09-08
Quantum Mechanics written by Mark Julian Everitt 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 2023-09-08 with Science categories.
QUANTUM MECHANICS From classical analytical mechanics to quantum mechanics, simulation, foundations & engineering Quantum mechanics is a fundamental and conceptually challenging area of physics. It is usually assumed that students are unfamiliar with Lagrangian and Hamiltonian formulations of classical mechanics and the role played by probability. As a result, quantum physics is typically introduced using heuristic arguments, obscuring synergies with classical mechanics. This book takes an alternative approach by leveraging classical analytical mechanics to facilitate a natural transition to quantum physics. By doing so, a solid foundation for understanding quantum phenomena is provided. Key features of this textbook include: Mathematics and Classical Analytical Mechanics: The necessary mathematical background and classical analytical mechanics are introduced gradually, allowing readers to focus on one conceptual challenge at a time. Deductive Approach: Quantum mechanics is presented on the firm foundation of classical analytical mechanics, ensuring a logical progression of concepts. Pedagogical Features: This book includes helpful notes, worked examples, problems, computational challenges, and problem-solving approaches to enhance understanding. Comprehensive Coverage: Including advanced topics such as open quantum systems, phase-space methods, and computational methods for quantum physics including good programming practice and code design. Much of the code needed to reproduce figures throughout this book is included. Consideration of Foundations: The measurement problem and correspondence principle are addressed, including an open and critical discussion of their interpretation and consequences. Introduction to Quantum Systems Engineering: This is the first book to introduce Quantum Systems Engineering approaches for applied quantum technologies development. This textbook is suitable for undergraduate students in physics and graduate students in mathematics, chemistry, engineering, and materials science.
The Transition To Chaos
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Author : Linda Reichl
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-05-13
The Transition To Chaos written by Linda Reichl 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 2004-05-13 with Science categories.
Based on courses given at the universities of Texas in Austin, and California in San Diego, this book treats an active fields of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; it continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and it concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature. Problems at the ends of chapters help students clarify their understanding. In this new edition, the presentation will be brought up to date throughout, and a new chapter on open quantum systems will be added.
Conservative Systems And Quantum Chaos
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Author : Larry Meredith Bates
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Conservative Systems And Quantum Chaos written by Larry Meredith Bates and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
This volume presents new research in classical Hamiltonian and quantum systems from the Workshop on Conservative Systems and Quantum Chaos held during The Fields Institute Program Year on Dynamical Systems and Bifurcation Theory in October 1992 (Waterloo, Canada). The workshop was organized so that there were presentations that formed a bridge between classical and quantum mechanical systems. Four of these papers appear in this collection, with the remaining six papers concentrating on classical Hamiltonian dynamics.
Quantum Classical Correspondence
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Author : A. O. Bolivar
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09
Quantum Classical Correspondence written by A. O. Bolivar 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 2013-04-09 with Science categories.
At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.
Coherent Atomic Matter Waves Ondes De Matiere Coherentes
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Author : R. Kaiser
language : en
Publisher: Springer
Release Date : 2007-07-03
Coherent Atomic Matter Waves Ondes De Matiere Coherentes written by R. Kaiser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-03 with Science categories.
Progress in atomic physics has been so vigorous during the past decade that one is hard pressed to follow all the new developments. In the early 1990s the first atom interferometers opened a new field in which we have been able to use the wave nature of atoms to probe fundamental quantum me chanics questions as well as to make precision measurements. Coming fast on the heels of this development was the demonstration of Bose Einstein condensation in dilute atomic vapors which intensified research interest in studying the wave nature of matter, especially in a domain in which "macro scopic" quantum effects (vortices, stimulated scattering of atomic beams) are visible. At the same time there has been much progress in our understanding of the behavior of waves (notably electromagnetic) in complex media, both periodic and disordered. An obvious topic of speculation and probably of future research is whether any new insight or applications will develop if one examines the behavior of de Broglie waves in analogous situations. Finally, our ability to manipulate atoms has allowed us not only to create macroscopically occupied quantum states but also to exercise fine control over the quantum states of a small number of atoms. This has advanced to the study of quantum entanglement and its relation to the theory of measurement and the theory of information. The 1990s have also seen an explosion of interest in an exciting potential application of this fine control: quantum computation and quantum cryptography.
Challenging Routes In Quantum Cosmology
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Author : Shahram Jalalzadeh
language : en
Publisher: World Scientific
Release Date : 2022-07-28
Challenging Routes In Quantum Cosmology written by Shahram Jalalzadeh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-28 with Science categories.
Quantum cosmology has gradually emerged as the focus of devoted research, mostly within the second half of last century. As we entered the 21st century, the subject is still very much alive. The outcome of results and templates for investigation have been enlarged, some very recent and fascinating. Hence this book, where the authors bequeath some of their views, as they believe this current century is the one where quantum cosmology will be fully accomplished.Though some aspects are not discussed (namely, supersymmetry or loop structures), there are perhaps a set of challenges that in the authors' opinion remain, some since the dawn of quantum mechanics and applications to cosmology. Others could have been selected, at the readers' discretion and opinion. The authors put herewith a chart and directions to explore, some of which they have worked on or aimed to work more, in the twilight of their current efforts. Their confidence is that someone will follow in their trails, venturing in discovering the proper answer, by being able to formulate the right questions beforehand. The authors' shared foresight is that such discoveries, from those formulations, will be attained upon endorsing the routes within the challenges herewith indicated.