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
Product Classification:
Differential calculus & equationsDifferential calculus and equations
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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