Long Time Behaviour Of Classical And Quantum Systems
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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 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
DOWNLOAD
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.
The Breadth Of Symplectic And Poisson Geometry
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Author : Jerrold E. Marsden
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-03
The Breadth Of Symplectic And Poisson Geometry written by Jerrold E. Marsden 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 2007-07-03 with Mathematics categories.
* The invited papers in this volume are written in honor of Alan Weinstein, one of the world’s foremost geometers * Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields * Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics
Distribution Theory And Applications
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Author : Abdellah El Kinani
language : en
Publisher: World Scientific
Release Date : 2010
Distribution Theory And Applications written by Abdellah El Kinani and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
The general frame for the resolution of PDEs is the theory of kernels ù the first elements of which are sufficient to show the practicality of distribution theory in applications. --
Problems In Probability
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Author : T. M. Mills
language : en
Publisher: World Scientific
Release Date : 2001
Problems In Probability written by T. M. Mills 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.
Probability theory is an important part of contemporary mathematics. It plays a key role in the insurance industry, in the modelling of financial markets, and in statistics generally ? including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics). The 20th century has been an important period for the subject, because we have witnessed the development of a solid mathematical basis for the study of probability, especially from the Russian school of probability under the leadership of A N Kolmogorov. We have also seen many new applications of probability ? from applications of stochastic calculus in the financial industry to Internet gambling. At the beginning of the 21st century, the subject offers plenty of scope for theoretical developments, modern applications and computational problems. There is something for everyone in probability The notes and problems in this book have been designed to provide a basis for a series of lectures suitable for advanced undergraduate students on the subject of probability. Through problem solving, students can experience the excitement associated with probability. This activity will help them to develop their problem-solving skills, which are so valuable in today's world. The problems in the book will introduce the student to some famous works and workers in probability and convey the historical, classical and contemporary aspects of probability. A key feature of the book is that many problems are in fact small guided research projects. The research work involved in solving the problems will enhance the student's library research skills.
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.
Geometry And Physics Volume I
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Author : Jørgen Ellegaard Andersen
language : en
Publisher: Oxford University Press
Release Date : 2018-10-18
Geometry And Physics Volume I written by Jørgen Ellegaard Andersen 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 2018-10-18 with Mathematics categories.
Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical 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.
Semiclassical Analysis Witten Laplacians And Statistical Mechanics
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Author : Bernard Helffer
language : en
Publisher: World Scientific
Release Date : 2002-09-10
Semiclassical Analysis Witten Laplacians And Statistical Mechanics written by Bernard Helffer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-10 with Mathematics categories.
This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics. It considers the problem of analyzing the decay of correlations, after presenting its origin in statistical mechanics. In addition, it compares the Witten Laplacian approach with other techniques, such as the transfer matrix approach and its semiclassical analysis. The author concludes by providing a complete proof of the uniform Log-Sobolev inequality.