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Green's Functions and Ordered Exponentials - Herbert Martin Fried

Green's Functions and Ordered Exponentials

Paperback Published: 25th August 2005
ISBN: 9780521448628
Number Of Pages: 184

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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.

Elementary functional methods
Schwinger-Fradkin methods
Lasers and crossed lasers
Special variants of the Fradkin representation
Quantum chaos and vectorial interactions
Infrared approximations
Models of high-energy, non-Abelian scattering
Unitary ordered exponentials
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521448628
ISBN-10: 052144862X
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 184
Published: 25th August 2005
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.07
Weight (kg): 0.28