ENGLISH

Quantized partial differential equations

By A. Prastarto

Book information

Publisher
World Scientific
Year
2004
ISBN
9812387641, 9789812562517, 9789812387646
LCC
QC20.7.G76 P73 2004
Open Library ID
OL22631213M
Language
english
Format
DJVU
Filesize
3 MB (3301951 bytes)
Pages
493\493
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

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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