TY  - BOOK
AU  - Fried,H.M.
TI  - Green's functions and ordered exponentials
SN  - 9780511535079 (ebook)
AV  - QC174.17.G68 F75 2002
U1  - 530.15/535 21
PY  - 2002///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Green's functions
KW  - Exponential functions
KW  - Mathematical physics
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511535079
ER  -