Fried, H. M.
Green's functions and ordered exponentials / - Cambridge, UK ; New York : Cambridge University Press, 2002. - xi, 169 p. : ill. ;
DescriptionContentsResourcesCoursesAbout the Authors
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.
0521443903 (hardback)
2002017417
Green's functions.
Exponential functions.
Mathematical physics.
530.15 535 / FRI/G
Green's functions and ordered exponentials / - Cambridge, UK ; New York : Cambridge University Press, 2002. - xi, 169 p. : ill. ;
DescriptionContentsResourcesCoursesAbout the Authors
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.
0521443903 (hardback)
2002017417
Green's functions.
Exponential functions.
Mathematical physics.
530.15 535 / FRI/G