Global Aspects of Classical Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Global Aspects of Classical Integrable Systems write by Richard H. Cushman. This book was released on 2015-06-01. Global Aspects of Classical Integrable Systems available in PDF, EPUB and Kindle. This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis.
Introduction to Classical Integrable Systems
Introduction to Classical Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Classical Integrable Systems write by Olivier Babelon. This book was released on 2003-04-17. Introduction to Classical Integrable Systems available in PDF, EPUB and Kindle. 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.
Integrable Systems of Classical Mechanics and Lie Algebras Volume I
Integrable Systems of Classical Mechanics and Lie Algebras Volume I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems of Classical Mechanics and Lie Algebras Volume I write by PERELOMOV. This book was released on 2012-12-06. Integrable Systems of Classical Mechanics and Lie Algebras Volume I available in PDF, EPUB and Kindle. This book offers a systematic presentation of a variety of methods and results concerning integrable systems of classical mechanics. The investigation of integrable systems was an important line of study in the last century, but up until recently only a small number of examples with two or more degrees of freedom were known. In the last fifteen years however, remarkable progress has been made in this field via the so-called isospectral deformation method which makes extensive use of group-theoretical concepts. The book focuses mainly on the development and applications of this new method, and also gives a fairly complete survey of the older classic results. Chapter 1 contains the necessary background material and outlines the isospectral deformation method in a Lie-algebraic form. Chapter 2 gives an account of numerous previously known integrable systems. Chapter 3 deals with many-body systems of generalized Calogero-Moser type, related to root systems of simple Lie algebras. Chapter 4 is devoted to the Toda lattice and its various modifications seen from the group-theoretic point of view. Chapter 5 investigates some additional topics related to many-body systems. The book will be valuable to students as well as researchers.
Quantum Integrable Systems
Quantum Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Integrable Systems write by Asesh Roy Chowdhury. This book was released on 2004-01-28. Quantum Integrable Systems available in PDF, EPUB and Kindle. The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the m
Classical Integrable Systems
Classical Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classical Integrable Systems write by Richard H. Cushman. This book was released on 1992. Classical Integrable Systems available in PDF, EPUB and Kindle.
