Green's Functions and Ordered Exponentials
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Book Description
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 new approximations for the treatment of color fluctuations in high-energy QCD scattering.
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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.
--This text refers to the
Digital
edition.
Green's Functions and Ordered Exponentials
Green's Functions and Ordered Exponentials,H. M. Fried,Cambridge University Press,0521443903,Approximation Theory,Exponential functions,Green's functions,Mathematical Physics,Physics,Science,Science/Mathematics,Mathematics for scientists & engineers,Non-linear science,Science / Mathematical Physics,Theoretical methods
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