Green's Functions and Ordered Exponentials
By (author) Herbert Martin Fried
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Green's Functions and Ordered Exponentials by Herbert Martin Fried
Book DescriptionThis 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.
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Book DetailsISBN: 9780521448628
(228mm x 152mm x 11mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 22-Aug-2005
Country of Publication: United Kingdom
Books By Author Herbert Martin Fried
Modern Functional Quantum Field Theory, Hardback (March 2014)
Suitable for graduate students, this book contains novel applications of Schwinger's well-known functional solutions, made possible by the use of Fradkin's little-known functional representations, together with the research work of the author and his colleagues.
Green's Functions and Ordered Exponentials, Hardback (October 2002)» View all books by Herbert Martin Fried
A detailed exposition, with applications to problems in potential theory and quantum field theory.
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