LEADER 03450nam 22006852 450 001 9910454858403321 005 20151005020622.0 010 $a1-107-12654-1 010 $a9786610416684 010 $a0-511-17786-0 010 $a0-511-14833-X 010 $a1-280-41668-8 010 $a0-511-53507-4 010 $a0-511-30528-1 010 $a0-521-44862-X 010 $a0-511-05273-1 035 $a(CKB)111056485625744 035 $a(EBL)202348 035 $a(OCoLC)444857161 035 $a(SSID)ssj0000165704 035 $a(PQKBManifestationID)11153156 035 $a(PQKBTitleCode)TC0000165704 035 $a(PQKBWorkID)10146940 035 $a(PQKB)10328837 035 $a(UkCbUP)CR9780511535079 035 $a(MiAaPQ)EBC202348 035 $a(Au-PeEL)EBL202348 035 $a(CaPaEBR)ebr10030917 035 $a(CaONFJC)MIL41668 035 $a(EXLCZ)99111056485625744 100 $a20090429d2002|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGreen's functions and ordered exponentials /$fH.M. Fried$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2002. 215 $a1 online resource (xi, 169 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-44390-3 311 $a0-511-02062-7 320 $aIncludes bibliographical references and index. 327 $g1.$tIntroduction --$g2.$tElementary functional methods --$g3.$tSchwinger-Fradkin methods --$g4.$tLasers and crossed lasers --$g5.$tSpecial variants of the Fradkin representation --$g6.$tQuantum chaos and vectorial interactions --$g7.$tInfrared approximations --$g8.$tModels of high-energy, non-Abelian scattering --$g9.$tUnitary ordered exponentials. 330 $aThis book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative approximation scheme, and provides a qualitative measure of the error involved in each such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied mathematics. 517 3 $aGreen's Functions & Ordered Exponentials 606 $aGreen's functions 606 $aExponential functions 606 $aMathematical physics 615 0$aGreen's functions. 615 0$aExponential functions. 615 0$aMathematical physics. 676 $a530.15/535 700 $aFried$b H. M$g(Herbert Martin),$045376 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910454858403321 996 $aGreen's functions and ordered exponentials$91424586 997 $aUNINA