Quantized partial differential equations / A Prastaro.

Format:

Book

Author/Creator:

Prastaro, Agostino.

Language:

English

Subjects (All):

Quantum groups.

Quantum field theory.

Physical Description:

1 online resource (500 p.)

Edition:

1st ed.

Place of Publication:

River Edge, NJ : World Scientific, c2004.

Language Note:

English

Summary:

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

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 461-471) and index.

ISBN:

9786611872472

9781281872470

1281872474

9789812562517

9812562516

OCLC:

475937313