Nonlinear Poisson Brackets: Geometry and Quantization

Karasev, M. V.

ISBN 10: 0821845969 / ISBN 13: 9780821845967

Editore: American Mathematical Society, 1993

This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,950grams, ISBN:9780821845967. Codice articolo 8622521

Riassunto:

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.

Dati bibliografici

Titolo: Nonlinear Poisson Brackets: Geometry and ...
Casa editrice: American Mathematical Society
Data di pubblicazione: 1993
Legatura: Rilegato
Condizione: Good