Nonlinear Poisson Brackets: Geometry and Quantization - Couverture rigide

Karasev, M. V.; Maslov, V. P.; Karasew, M. V.

Couverture rigide

ISBN 10 : 0821845969 ISBN 13 : 9780821845967

Editeur : American Mathematical Society, 1993

Synopsis

This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. The second is the quantization problem for such brackets in the semiclassical approximation (which is the problem of exact quantization for the simplest classes of brackets). These problems are progressively coming to the fore in the modern theory of differential equations and quantum theory, since the approach based on constructions of algebras and Lie groups seems, in a certain sense, to be exhausted. The authors' main goal is to describe in detail the new objects that appear in the solution of these problems. Many ideas of algebra, modern differential geometry, algebraic topology, and operator theory are synthesized here. The authors prove all statements in detail, thus making the book accessible to graduate students.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1993
• Langue: anglais
• ISBN 10: 0821845969
• ISBN 13: 9780821845967
• Reliure: Relié
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible