Overview
- Includes new chapters treating the dynamical properties of atoms and molecules and in particular how QED effects can be evaluated for dynamical processes
- Offers revised and extended sections throughout illustrating the latest developments in relativistic many-body theory
- Provides a unified account of quantum electrodynamics and many-body perturbation theory which are illustrated with numerical examples
- Synthesizes the techniques of many-body perturbation theory and quantum field theory
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics (SSAOPP, volume 63)
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Table of contents (14 chapters)
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Front Matter
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Basics. Standard Many-body Perturbation Theory
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Front Matter
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Bound-State Quantumelectrodynamics: One- and Two-Photon Exchange
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Front Matter
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Unification of Many-Body Perturbation Theory and Quantum Electrodynamics
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Front Matter
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Dynamical Processes with Bound States
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Front Matter
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Back Matter
Keywords
- Atomic Many-body Theory
- Bethe-Salpeter Equation
- Calculations in Quantum Electrodynamics
- Field Approach to Many-body Perturbation Theory
- Many-body Perturbation Theory Book
- New Developments in Many-body Theory
- Perturbation Theory Book
- QED Effects of Many-body Theory
- Relativistic Theory of Many-electron Systems
- Standard Many-body Perturbation Theory
About this book
This revised second edition of the author’s classic text offers readers a comprehensively updated review of relativistic atomic many-body theory, covering the many developments in the field since the publication of the original title. In particular, a new final section extends the scope to cover the evaluation of QED effects for dynamical processes.
The treatment of the book is based upon quantum-field theory, and demonstrates that when the procedure is carried to all orders of perturbation theory, two-particle systems are fully compatible with the relativistically covariant Bethe-Salpeter equation. This procedure can be applied to arbitrary open-shell systems, in analogy with the standard many-body theory, and it is also applicable to systems with more than two particles. Presently existing theoretical procedures for treating atomic systems are, in several cases, insufficient to explain the accurate experimental data recently obtained, particularly for highly charged ions.
The main text is divided into three parts. In Part I, the standard time-independent and time-dependent perturbation procedures are reviewed. This includes a new section at the end of chapter 2 concerning the so-called ”Fock-space procedure” or ”Coulomb-only procedure” for relativistic-QED calculations
. This is a procedure on an intermediate level, frequently used in recent time by chemists on molecular systems, where a full QED treatment is out of question. Part II describes three methods for QED calculations, a) the standard S-matrix formulation, b) the Two-times Green’s-function method, developed by the St Petersburg Atomic Theory group, and c) the Covariant-evolution operator (CEO) method, recently developed by the Gothenburg Atomic Theory group. In Part III, the CEO method is combined with electron correlation to arbitrary order to a unified MBPT-QED procedure. The new Part IV includes two newchapters dealing with dynamical properties and how QED effects can be evaluated for such processes. This part is much needed as there has been an increasing interest in the study of QED effects for such processes.All methods treated in the book are illustrated with numerical examples, making it a text suitable for advanced students new to the field and a useful reference for established researchers.
Reviews
“The book provides a first-time unified perspective based upon quantum field theory and illustrated with several numerical examples. Many chapters were re-edited, with improved writing from the author’s original text.” (Eric Howard, Contemporary Physics, October, 29, 2018)
Authors and Affiliations
Bibliographic Information
Book Title: Relativistic Many-Body Theory
Book Subtitle: A New Field-Theoretical Approach
Authors: Ingvar Lindgren
Series Title: Springer Series on Atomic, Optical, and Plasma Physics
DOI: https://doi.org/10.1007/978-3-319-15386-5
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-15385-8Published: 10 May 2016
Softcover ISBN: 978-3-319-79216-3Published: 26 May 2018
eBook ISBN: 978-3-319-15386-5Published: 28 April 2016
Series ISSN: 1615-5653
Series E-ISSN: 2197-6791
Edition Number: 2
Number of Pages: XVII, 406
Number of Illustrations: 146 b/w illustrations, 5 illustrations in colour
Topics: Quantum Field Theories, String Theory, Quantum Physics, Atomic/Molecular Structure and Spectra