LEADER 03259nam 2200577 450 001 996466492503316 005 20220907170113.0 010 $a3-540-38250-X 024 7 $a10.1007/BFb0079827 035 $a(CKB)1000000000438280 035 $a(DE-He213)978-3-540-38250-8 035 $a(MiAaPQ)EBC5590919 035 $a(Au-PeEL)EBL5590919 035 $a(OCoLC)1066189052 035 $a(MiAaPQ)EBC6842112 035 $a(Au-PeEL)EBL6842112 035 $a(PPN)155216058 035 $a(EXLCZ)991000000000438280 100 $a20220907d1976 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical theory of Feynman path integrals /$fSergio Albeverio, Raphael Ho?egh-Krohn 205 $a1st ed. 1976. 210 1$aBerlin ;$aHeidelberg ;$aNew York :$cSpringer-Verlag,$d[1976] 210 4$dİ1976 215 $a1 online resource (X, 186 p.) 225 1 $aLecture notes in mathematics (Springer-Verlag) ;$v523 311 $a3-540-07785-5 327 $aThe fresnel integral of functions on a separable real Hilbert space -- The Feynman path integral in potential scattering -- The fresnel integral relative to a non singular quadratic form -- Feynman path integrals for the anharmonic oscillator -- Expectations with respect to the ground state of the harmonic oscillator -- Expectations with respect to the Gibbs state of the harmonic oscillator -- The invariant quasi-free states -- The Feynman history integrals for the relativistic quantum boson field. 330 $aFeynman path integrals integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low dimensional topology and differential geometry, algebraic geometry, infinite dimensional analysis and geometry, and number theory. The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments which have occurred since then, an entire new chapter about the current forefront of research has been added. Except for this new chapter, the basic material and presentation of the first edition was mantained, a few misprints have been corrected. At the end of each chapter the reader will also find notes with further bibliographical information. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v523. 606 $aDifferential equations, Partial 606 $aFeynman integrals 606 $aPath integrals 615 0$aDifferential equations, Partial. 615 0$aFeynman integrals. 615 0$aPath integrals. 676 $a515.353 686 $a81Q30$2msc 700 $aAlbeverio$b S. A. Sergio$01255038 702 $aHo?egh-Krohn$b Raphael 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466492503316 996 $aMathematical theory of Feynman path integrals$92909979 997 $aUNISA