Green's functions and ordered exponentials [E-Book] / H.M. Fried.
Fried, H. M., (author)
Cambridge : Cambridge University Press, 2002
1 online resource (xi, 169 pages)
englisch
9780521443906
9780511535079
9780521448628
Full Text
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245 1 0 |a Green's functions and ordered exponentials  |h [E-Book] /  |c H.M. Fried. 
264 1 |a Cambridge :  |b Cambridge University Press,  |c 2002  |e (CUP)  |f CUP20200108 
300 |a 1 online resource (xi, 169 pages) 
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500 |a englisch 
505 0 0 |g 1.  |t Introduction --  |g 2.  |t Elementary functional methods --  |g 3.  |t Schwinger-Fradkin methods --  |g 4.  |t Lasers and crossed lasers --  |g 5.  |t Special variants of the Fradkin representation --  |g 6.  |t Quantum chaos and vectorial interactions --  |g 7.  |t Infrared approximations --  |g 8.  |t Models of high-energy, non-Abelian scattering --  |g 9.  |t Unitary ordered exponentials. 
520 |a 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. 
650 0 |a Green's functions. 
650 0 |a Exponential functions. 
650 0 |a Mathematical physics. 
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