LEADER 02707nam 2200613Ia 450 001 9910824473203321 005 20240505174638.0 010 $a1-282-44302-X 010 $a9786612443022 010 $a981-283-691-8 035 $a(CKB)2550000000003269 035 $a(EBL)477207 035 $a(OCoLC)613396809 035 $a(SSID)ssj0000340200 035 $a(PQKBManifestationID)11256715 035 $a(PQKBTitleCode)TC0000340200 035 $a(PQKBWorkID)10387863 035 $a(PQKB)11009747 035 $a(MiAaPQ)EBC477207 035 $a(WSP)00002096 035 $a(Au-PeEL)EBL477207 035 $a(CaPaEBR)ebr10361454 035 $a(CaONFJC)MIL244302 035 $a(PPN)181037203 035 $a(EXLCZ)992550000000003269 100 $a20081219d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Feynman path integrals and their applications /$fSonia Mazzucchi 205 $a1st ed. 210 $aNew Jersey ;$aHong Kong $cWorld Scientific$dc2009 215 $a1 online resource (225 p.) 300 $aDescription based upon print version of record. 311 $a981-283-690-X 320 $aIncludes bibliographical references (p. 197-213) and index. 327 $aPreface; Contents; 1. Introduction; 2. Infinite Dimensional Oscillatory Integrals; 3. Feynman Path Integrals and the Schr odinger Equation; 4. The Stationary Phase Method and the Semiclassical Limit of Quantum Mechanics; 5. Open Quantum Systems; 6. Alternative Approaches to Feynman Path Integration; Appendix A Abstract Wiener Spaces; Bibliography; Index 330 $aAlthough more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas. This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathem 606 $aFeynman integrals 606 $aFeynman diagrams 615 0$aFeynman integrals. 615 0$aFeynman diagrams. 676 $a519 676 $a530.12 700 $aMazzucchi$b Sonia$0508832 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910824473203321 996 $aMathematical Feynman path integrals and their applications$93958780 997 $aUNINA