03481nam 22006972 450 991081798080332120151005020622.01-107-12654-197866104166840-511-17786-00-511-14833-X1-280-41668-80-511-53507-40-511-30528-10-521-44862-X0-511-05273-1(CKB)111056485625744(EBL)202348(OCoLC)444857161(SSID)ssj0000165704(PQKBManifestationID)11153156(PQKBTitleCode)TC0000165704(PQKBWorkID)10146940(PQKB)10328837(UkCbUP)CR9780511535079(MiAaPQ)EBC202348(Au-PeEL)EBL202348(CaPaEBR)ebr10030917(CaONFJC)MIL41668(PPN)261328727(EXLCZ)9911105648562574420090429d2002|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierGreen's functions and ordered exponentials /H.M. Fried[electronic resource]Cambridge :Cambridge University Press,2002.1 online resource (xi, 169 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-44390-3 0-511-02062-7 Includes bibliographical references and index.1.Introduction --2.Elementary functional methods --3.Schwinger-Fradkin methods --4.Lasers and crossed lasers --5.Special variants of the Fradkin representation --6.Quantum chaos and vectorial interactions --7.Infrared approximations --8.Models of high-energy, non-Abelian scattering --9.Unitary ordered exponentials.This 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.Green's Functions & Ordered ExponentialsGreen's functionsExponential functionsMathematical physicsGreen's functions.Exponential functions.Mathematical physics.530.15/535Fried H. M(Herbert Martin),45376UkCbUPUkCbUPBOOK9910817980803321Green's functions and ordered exponentials1424586UNINA