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Quantized Partial Differential Equations
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Quantized Partial Differential Equations

Book Details

Format Hardback or Cased Book
ISBN-10 9812387641
ISBN-13 9789812387646
Publisher World Scientific Publishing Co Pte Ltd
Imprint World Scientific Publishing Co Pte Ltd
Country of Manufacture SG
Country of Publication GB
Publication Date Apr 8th, 2004
Print length 500 Pages
Weight 810 grams
Dimensions 23.30 x 15.90 x 3.00 cms
Ksh 28,800.00
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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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