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Green's functions and ordered exponentials /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Green's functions and ordered exponentials // H.M. Fried.
其他題名:	Green's Functions & Ordered Exponentials
作者:	Fried, H. M.
面頁冊數:	1 online resource (xi, 169 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Green's functions. -
電子資源:	https://doi.org/10.1017/CBO9780511535079
ISBN:	9780511535079 (ebook)

Green's functions and ordered exponentials /
Fried, H. M.

Green's functions and ordered exponentials /Green's Functions & Ordered ExponentialsH.M. Fried. - 1 online resource (xi, 169 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction --1.

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.

ISBN: 9780511535079 (ebook)Subjects--Topical Terms:

636389
Green's functions.

LC Class. No.: QC174.17.G68 / F75 2002

Dewey Class. No.: 530.15/535

Green's functions and ordered exponentials /
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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. $3 636389
650 0 $a Exponential functions. $3 1059999
650 0 $a Mathematical physics. $3 527831
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