02608nam 2200589Ia 450 991078322260332120230617014855.01-281-87247-49786611872472981-256-251-6(CKB)1000000000033272(EBL)231562(OCoLC)475937313(SSID)ssj0000231246(PQKBManifestationID)11207797(PQKBTitleCode)TC0000231246(PQKBWorkID)10198537(PQKB)10090287(MiAaPQ)EBC231562(WSP)00005477(Au-PeEL)EBL231562(CaPaEBR)ebr10082184(CaONFJC)MIL187247(EXLCZ)99100000000003327220040719d2004 uy 0engurcn|||||||||txtccrQuantized partial differential equations[electronic resource] /A PrástaroRiver Edge, NJ World Scientificc20041 online resource (500 p.)Description based upon print version of record.981-238-764-1 Includes bibliographical references (p. 461-471) and index.Quantized Partial Differential Equations; Preface; CONTENTS; Quantized PDE's I: Noncommutative Manifolds; Quantized PDE's. II: Noncommutative PDE's; Quantized PDE's III: Quantizations of Commutative PDE's; Addendum I: Bordism groups and the (NS)-problem; Addendum II: Bordism groups and variational PDE's; References; IndexThis 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. GlobalQuantum groupsQuantum field theoryQuantum groups.Quantum field theory.515.353517.383Prastaro Agostino476483MiAaPQMiAaPQMiAaPQBOOK9910783222603321Quantized partial differential equations3812803UNINA