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

By: Material type: TextTextPublication details: Cambridge ; New York : Cambridge University Press, 2002.Description: 1 online resource (xi, 169 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 0511020627
  • 9780511020629
  • 9780511535079
  • 0511535074
  • 9780511037498
  • 051103749X
  • 051114833X
  • 9780511148330
  • 9780511052736
  • 0511052731
  • 1280416688
  • 9781280416682
Subject(s): Genre/Form: Additional physical formats: Print version:: Green's functions and ordered exponentials.DDC classification:
  • 530.15/535 21
LOC classification:
  • QC174.17.G68 F75 2002eb
Online resources:
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.
Review: "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 problemsSummary: 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
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Electronic-Books Electronic-Books OPJGU Sonepat- Campus E-Books EBSCO Available

Includes bibliographical references and index.

Print version record.

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.

"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

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