Introduction To Classical Integrable Systems
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Introduction To Classical Integrable Systems
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Author : Olivier Babelon
language : en
Publisher: Cambridge University Press
Release Date : 2003-04-17
Introduction To Classical Integrable Systems written by Olivier Babelon 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 2003-04-17 with Science categories.
A clear and pedagogical introduction to classical integrable systems and their applications. It synthesizes the different approaches to the subject, providing a set of interconnected methods for solving problems in mathematical physics. Each method is introduced and explained, before being applied to particular examples.
Introduction To Classical Integrable Systems
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Author : Olivier Babelon
language : en
Publisher:
Release Date : 2003
Introduction To Classical Integrable Systems written by Olivier Babelon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Dynamics categories.
Classical And Quantum Nonlinear Integrable Systems
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Author : A Kundu
language : en
Publisher: CRC Press
Release Date : 2019-04-23
Classical And Quantum Nonlinear Integrable Systems written by A Kundu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-23 with Science categories.
Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories
Integrable And Superintegrable Systems
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Author : Boris A Kuperschmidt
language : en
Publisher: World Scientific
Release Date : 1990-10-25
Integrable And Superintegrable Systems written by Boris A Kuperschmidt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-10-25 with Science categories.
Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions. The papers in this collection, representing their authors' responses, offer a broad panorama of the subject as it enters the 1990's.
An Introduction To Integrable Techniques For One Dimensional Quantum Systems
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Author : Fabio Franchini
language : en
Publisher: Springer
Release Date : 2017-05-25
An Introduction To Integrable Techniques For One Dimensional Quantum Systems written by Fabio Franchini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-25 with Science categories.
This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture.
Algebraic Integrability Painlev Geometry And Lie Algebras
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Author : Mark Adler
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Algebraic Integrability Painlev Geometry And Lie Algebras written by Mark Adler 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 2013-03-14 with Mathematics categories.
This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas, and make up the core of the last part of the book. The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic.
Quantum Gravity
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Author : Carlo Rovelli
language : en
Publisher: Cambridge University Press
Release Date : 2007-11-29
Quantum Gravity written by Carlo Rovelli 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 2007-11-29 with Science categories.
Quantum gravity is perhaps the most important open problem in fundamental physics. It is the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this 2004 book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.
The Theory Of Complex Angular Momenta
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Author : V. N. Gribov
language : en
Publisher: Cambridge University Press
Release Date : 2003-12-04
The Theory Of Complex Angular Momenta written by V. N. Gribov 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 2003-12-04 with Science categories.
This 2003 book is a rigorous introduction to the theory of complex angular momenta, based on the methods of field theory. This is an English translation of the famous lecture course given by Vladimir Gribov in 1969. Besides their historical significance, these lectures are highly relevant to modern research in theoretical physics.
Nonequilibrium Quantum Field Theory
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Author : Esteban A. Calzetta
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-09
Nonequilibrium Quantum Field Theory written by Esteban A. Calzetta 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 2023-02-09 with Science categories.
This 2008 book, reissued as OA, captures the essence of nonequilibrium quantum field theory, graduate students and researchers.
Integrability
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Author : Alexander Mikhailov
language : en
Publisher: Springer
Release Date : 2008-11-05
Integrability written by Alexander Mikhailov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-05 with Science categories.
The principal aim of the book is to give a comprehensive account of the variety of approaches to such an important and complex concept as Integrability. Dev- oping mathematical models, physicists often raise the following questions: whether the model obtained is integrable or close in some sense to an integrable one and whether it can be studied in depth analytically. In this book we have tried to c- ate a mathematical framework to address these issues, and we give descriptions of methods and review results. In the Introduction we give a historical account of the birth and development of the theory of integrable equations, focusing on the main issue of the book – the concept of integrability itself. A universal de nition of Integrability is proving to be elusive despite more than 40 years of its development. Often such notions as “- act solvability” or “regular behaviour” of solutions are associated with integrable systems. Unfortunately these notions do not lead to any rigorous mathematical d- inition. A constructive approach could be based upon the study of hidden and rich algebraic or analytic structures associated with integrable equations. The requi- ment of existence of elements of these structures could, in principle, be taken as a de nition for integrability. It is astonishing that the nal result is not sensitive to the choice of the structure taken; eventually we arrive at the same pattern of eq- tions.