|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910783222603321 |
|
|
Autore |
Prastaro Agostino |
|
|
Titolo |
Quantized partial differential equations [[electronic resource] /] / A Prástaro |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
River Edge, NJ, : World Scientific, c2004 |
|
|
|
|
|
|
|
ISBN |
|
1-281-87247-4 |
9786611872472 |
981-256-251-6 |
|
|
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (500 p.) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
|
|
Soggetti |
|
Quantum groups |
Quantum field theory |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (p. 461-471) and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Quantized Partial Differential Equations; Preface; CONTENTS; Quantized PDE's I: Noncommutative Manifolds; Quantized PDE's. II: Noncommutative PDE's; Quantized PDE's III: Quantizations of Commutative PDE's; Addendum I: Bordism groups and the (NS)-problem; Addendum II: Bordism groups and variational PDE's; References; Index |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
This book presents, for the first time, a systematic formulation of the geometric theory of noncommutative PDE's which is suitable enough to be used for a mathematical description of quantum dynamics and quantum field theory. A geometric theory of supersymmetric quantum PDE's is also considered, in order to describe quantum supergravity. Covariant and canonical quantizations of (super) PDE's are shown to be founded on the geometric theory of PDE's and to produce quantum (super) PDE's by means of functors from the category of commutative (super) PDE's to the category of quantum (super)PDE's. Global |
|
|
|
|
|
|
|