Dynamical Systems - 7: Dynamical Systems VII - Integrable Systems Nonholonomic Dynamical Systems

One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Lie-algebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics.

List of contents

Contents: Nonholonomic Dynamical Systems, Geometry of Distributions and Variational Problems by A.M. Vershik, V.Ya. Gershkovich.- Integrable Systems and Infinite Dimensional Lie Algebras by M.A. Olshanetsky, M.A. Perelomov.- Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems by A.G. Reyman, M.A. Semenov-Tian-Shansky.- Quantization of Open Toda Lattices by M.A. Semenov-Tian-Shansky.- Geometric and Algebraic Mechanisms of the Integrability of Hamiltonian Systems on Homogeneous Spaces and Lie Algebras by V.V. Trofimov, A.T. Fomenko.

Product details

• Authors: A. T. Fomenko, V. Ya. Gershkovich, M. A. Olshanetsky, A. M. Perelomov, A. G. Rejman
• Assisted by: V. I. Arnol'd (Editor), I Arnol'd (Editor), V I Arnol'd (Editor), S. P. Novikov (Editor), P Novikov (Editor), P Novikov (Editor), A. G. Reyman (Editor), M. A. Semenov-Tian-Shansky (Editor), A. G. Reyman (Translation), M. A. Semenov-Tian-Shansky (Translation)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.1960
• EAN: 9783540181767
• ISBN: 978-3-540-18176-7
• No. of pages: 344
• Weight: 640 g
• Illustrations: VII, 344 p.
• Sets: Dynamical Systems; Dynamical Systems
• Series: Encyclopaedia of Mathematical Sciences; Encyclopaedia of Mathematical Sciences
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis