Code: 05067721

Quantized Partial Differential Equations

Name: Quantized Partial Differential Equations
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05067721
Price: 191.94 EUR
Availability: BackOrder
Author: Agostino Prastaro
ISBN: 9789812387646

by Agostino Prastaro

Language: English
Binding: Hardback
Number of pages: 500
Publisher: World Scientific Publishing Co Pte Ltd, 2004
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Book synopsis

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 properties of solutions to (super) (commutative) PDE's are obtained by means of their integral bordism groups.