Quantized Partial Differential Equations
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(Co)Bordism Groups in (Noncommutative) PDE's
(Quantum) Navier-Stokes Equations
(Quantum) NavierAcAEURA"Stokes Equations
(Quantum) Navier–Stokes Equations
(Quantum) Super Yang-Mills Equations
(Quantum) Super YangAcAEURA"Mills Equations
(Quantum) Super Yang–Mills Equations
A01=Agostino Prastaro
Author_Agostino Prastaro
Category=PBG
Category=PBKJ
Category=PHQ
Category=PHU
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eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Global Existence Solutions of (Quantum) PDE's
Noncommutative Manifolds
Noncommutative PDE's
Quantum Supergravity
Product details
- ISBN 9789812387646
- Publication Date: 08 Apr 2004
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
