Tech@Addebook

Quantized Partial Differential Equations

By A. Prastarto

Publisher: World Scientific Publishing Company
Number Of Pages: 500
Publication Date: 2004-06
Sales Rank: 1223881
ISBN / ASIN: 9812387641
EAN: 9789812387646
Binding: Hardcover
Manufacturer: World Scientific Publishing Company
Studio: World Scientific Publishing Company

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.

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