Quantized Partial Differential Equations
Author:   Agostino Prastaro (Univ Di Roma ""La Sapienza"", Italy)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789812387646


Pages:   500
Publication Date:   08 April 2004
Format:   Hardback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Quantized Partial Differential Equations


Overview

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.

Full Product Details

Author:   Agostino Prastaro (Univ Di Roma ""La Sapienza"", Italy)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.30cm , Height: 3.00cm , Length: 23.00cm
Weight:   0.816kg
ISBN:  

9789812387646


ISBN 10:   9812387641
Pages:   500
Publication Date:   08 April 2004
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Algebraic Topology; Quantum Algebras; Quantum Manifolds; Quantum PDE's; Quantum Navier-Stokes Equation; Quantum Super PDE's; Quantum Super Yang-Mills Equations; Integral (Co)Bordism Groups in PDE's; Spectral Measures of PDE's; Quantizations of PDE's; Covariant and Canonical Quantizations of PDE's

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