H. M. Fried

Green's Functions and Ordered Exponentials (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 10. Oktober 2002
• Englisch
• ISBN-13: 9780511037498
• Artikelnr.: 38203168

Inhaltsangabe

Preface
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.