Overview

This book gives a comprehensive account of relativistic many-body perturbation theory, based upon field theory. After some introductory chapters about time-independent and time dependent many-body perturbation theory (MBPT), the standard techniques of S-matrix and Green's functions are reviewed. Next, the newly introduced covariant-evolution-operator method is described, which can be used, like the S-matrix method, for calculations in quantum electrodynamics (QED). Unlike the S-matrix method, this has a structure that is similar to that of MBPT and therefore can serve as basis for a unified theory. Such an approach is developed in the final chapters, and its equivalence to the Bethe-Salpeter equation is demonstrated. Possible applications are discussed and numerical illustrations given.

Full Product Details

Author:   Ingvar Lindgren
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2011 ed.
Volume:   63
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.736kg
ISBN:  

9781441983084

ISBN 10:   1441983082
Pages:   366
Publication Date:   03 May 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Awaiting stock  

Table of Contents

Introduction.- Time-independent formalism.- Time-dependent formalism.- S-matrix.- Green's functions.- Covariant evolution operator and Green's operator.- Numerical illustrations to Part II.- Covariant evolution combined with electron correlation.- The Bethe-Salpeter equation.- Implementation of the MBPT-QED procedure with numerical results.- Analytical treatment of the Bethe-Salpeter equation.- Regularization and renormalization.- Summary and Conclusions.- Notations and definitions.- Second quantization.- Representations of states and operators.- Dirac equation and the momentum representation.- Lagrangian field theory.- Semiclassical theory of radiation.- Covariant theory of Quantum ElectroDynamics.- Feynman diagrams and Feynman amplitude.- Evaluation rules for time-ordered diagrams.- Some integrals.- Unit systems and dimensional analysis.- References.- Index.

Reviews

From the reviews: ""The present book aims to provide an overview and to summarize the results obtained with the modern formalism ... . All methods are illustrated using numerical examples. This textbook is a reliable guide for advanced graduate students and researchers."" (Gert Roepstorff, Zentralblatt MATH, Vol. 1218, 2011)

From the reviews: The present book aims to provide an overview and to summarize the results obtained with the modern formalism ... . All methods are illustrated using numerical examples. This textbook is a reliable guide for advanced graduate students and researchers. (Gert Roepstorff, Zentralblatt MATH, Vol. 1218, 2011)

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