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.
Integrable Systems of Classical Mechanics and Lie Algebras
Integrable Systems of Classical Mechanics and Lie Algebras - 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 write by PERELOMOV. This book was released on 2011-09-28. Integrable Systems of Classical Mechanics and Lie Algebras available in PDF, EPUB and Kindle.
Integrable Systems of Classical Mechanics and Lie Algebras
Integrable Systems of Classical Mechanics and Lie Algebras - 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 write by Askolʹd Mikhaĭlovich Perelomov. This book was released on 1990. Integrable Systems of Classical Mechanics and Lie Algebras available in PDF, EPUB and Kindle.
Integrable systems of classical mechanics and Lie algebras
Integrable systems of classical mechanics and Lie algebras - 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 write by Askolʹd M. Perelomov. This book was released on . Integrable systems of classical mechanics and Lie algebras available in PDF, EPUB and Kindle.
Integrable Systems of Classical Mechanics and Lie Algebras
Integrable Systems of Classical Mechanics and Lie Algebras - 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 write by A. M. Perelomov. This book was released on 1990. Integrable Systems of Classical Mechanics and Lie Algebras 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.
