LEADER 02608nam 2200589Ia 450 001 9910783222603321 005 20230617014855.0 010 $a1-281-87247-4 010 $a9786611872472 010 $a981-256-251-6 035 $a(CKB)1000000000033272 035 $a(EBL)231562 035 $a(OCoLC)475937313 035 $a(SSID)ssj0000231246 035 $a(PQKBManifestationID)11207797 035 $a(PQKBTitleCode)TC0000231246 035 $a(PQKBWorkID)10198537 035 $a(PQKB)10090287 035 $a(MiAaPQ)EBC231562 035 $a(WSP)00005477 035 $a(Au-PeEL)EBL231562 035 $a(CaPaEBR)ebr10082184 035 $a(CaONFJC)MIL187247 035 $a(EXLCZ)991000000000033272 100 $a20040719d2004 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuantized partial differential equations$b[electronic resource] /$fA Pra?staro 210 $aRiver Edge, NJ $cWorld Scientific$dc2004 215 $a1 online resource (500 p.) 300 $aDescription based upon print version of record. 311 $a981-238-764-1 320 $aIncludes bibliographical references (p. 461-471) and index. 327 $aQuantized 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; Index 330 $aThis 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 606 $aQuantum groups 606 $aQuantum field theory 615 0$aQuantum groups. 615 0$aQuantum field theory. 676 $a515.353 676 $a517.383 700 $aPrastaro$b Agostino$0476483 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910783222603321 996 $aQuantized partial differential equations$93812803 997 $aUNINA