Green's functions and ordered exponentials /
Fried, H. M.
Green's functions and ordered exponentials / Green's Functions & Ordered Exponentials H.M. Fried. - Cambridge : Cambridge University Press, 2002. - 1 online resource (xi, 169 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Introduction -- 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. 1. 2. 3. 4. 5. 6. 7. 8. 9.
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.
9780511535079 (ebook)
Green's functions.
Exponential functions.
Mathematical physics.
QC174.17.G68 / F75 2002
530.15/535
Green's functions and ordered exponentials / Green's Functions & Ordered Exponentials H.M. Fried. - Cambridge : Cambridge University Press, 2002. - 1 online resource (xi, 169 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Introduction -- 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. 1. 2. 3. 4. 5. 6. 7. 8. 9.
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.
9780511535079 (ebook)
Green's functions.
Exponential functions.
Mathematical physics.
QC174.17.G68 / F75 2002
530.15/535