01604nam a2200205Ia 4500 CTU_166394 210402s9999 xx 000 0 und d 173 530.15535 F899 Fried, H. M. Green's functions and ordered exponentials H. M. Fried Cambridge, U.K. Cambridge University Press 2002 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,Exponential functions,Mathematical physics Bich Tram, Giang Trung tâm Học liệu Trường Đại học Cần Thơ