Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds: Classical and Quantum Aspects (Mathematics and Its Applications, 443)

Prykarpatsky, A.K., Mykytiuk, I.V.

ISBN 10: 0792350901 / ISBN 13: 9780792350903

Editore: Springer, 1998

Like New. Codice articolo ERICA79707923509016

Riassunto:

This book provides a detailed exposition of modern Lie-algebraic theory of integrable nonlinear dynamic systems on manifolds and its applications to mathematical physics, classical mechanics and hydrodynamics. The authors have developed a canonical geometric approach based on differential geometric considerations and spectral theory, which offers solutions to many quantization procedure problems. Much of the material is devoted to treating integrable systems via the gradient-holonomic approach devised by the authors, which can be very effectively applied. This volume is aimed at graduate-level students, researchers and mathematical physicists whose work involves differential geometry, ordinary differential equations, manifolds and cell complexes, topological groups and Lie groups.

Contenuti: Preface. Background Notations. 1. Dynamical Systems with Homogeneous Configuration Spaces. 2. Geometric Quantization and Integrable Dynamical Systems. 3. Structures on Manifolds and Algebraic Integrability of Dynamical Systems. 4. Algebraic Methods of Quantum Statistical Mechanics and Their Applications. 5. Algebraic and Differential Geometric Aspects of the Integrability of Nonlinear Dynamical Systems on Infinite-Dimensional Functional Manifolds. References.

Dati bibliografici

Titolo: Algebraic Integrability of Nonlinear ...
Casa editrice: Springer
Data di pubblicazione: 1998
Legatura: Hardcover
Condizione: Like New
Tipologia articolo: book