Green's functions and ordered exponentials /
Fried, H. M.
Green's functions and ordered exponentials / H.M. Fried. - Cambridge ; New York : Cambridge University Press, 2002. - 1 online resource (xi, 169 pages) : illustrations
Includes bibliographical references and index.
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. In addition, it deals with adiabatic and stochastic approximations to unitary ordered exponentials." "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."--Jacket
0511020627 (electronic bk.) 9780511020629 (electronic bk.) 9780511535079 (electronic bk.) 0511535074 (electronic bk.) 9780511037498 (electronic bk. ; EB20) 051103749X (electronic bk. ; EB20) 051114833X 9780511148330 9780511052736 (electronic bk.) 0511052731 (electronic bk.) 1280416688 9781280416682
Green's functions.
Exponential functions.
Mathematical physics.
Fonctions de Green.
Fonctions exponentielles.
Physique mathématique.
SCIENCE--Physics--Mathematical & Computational.
Exponential functions.
Green's functions.
Mathematical physics.
Andre fag (naturvidenskab og teknik) Andre fag
Electronic books.
Electronic books.
QC174.17.G68 / F75 2002eb
530.15/535
Green's functions and ordered exponentials / H.M. Fried. - Cambridge ; New York : Cambridge University Press, 2002. - 1 online resource (xi, 169 pages) : illustrations
Includes bibliographical references and index.
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. In addition, it deals with adiabatic and stochastic approximations to unitary ordered exponentials." "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."--Jacket
0511020627 (electronic bk.) 9780511020629 (electronic bk.) 9780511535079 (electronic bk.) 0511535074 (electronic bk.) 9780511037498 (electronic bk. ; EB20) 051103749X (electronic bk. ; EB20) 051114833X 9780511148330 9780511052736 (electronic bk.) 0511052731 (electronic bk.) 1280416688 9781280416682
Green's functions.
Exponential functions.
Mathematical physics.
Fonctions de Green.
Fonctions exponentielles.
Physique mathématique.
SCIENCE--Physics--Mathematical & Computational.
Exponential functions.
Green's functions.
Mathematical physics.
Andre fag (naturvidenskab og teknik) Andre fag
Electronic books.
Electronic books.
QC174.17.G68 / F75 2002eb
530.15/535