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

Format:

Book

Author/Creator:

Fried, H. M. (Herbert Martin), author.

Language:

English

Subjects (All):

Green's functions.

Exponential functions.

Mathematical physics.

Physical Description:

1 online resource (xi, 169 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

Green's Functions & Ordered Exponentials

Place of Publication:

Cambridge : Cambridge University Press, 2002.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

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

Includes bibliographical references and index.

ISBN:

1-107-12654-1

9786610416684

0-511-17786-0

0-511-14833-X

1-280-41668-8

0-511-53507-4

0-511-30528-1

0-521-44862-X

0-511-05273-1

OCLC:

444857161