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Springer Series on Atomic, Optical, and Plasma Physics

Relativistic Many-Body Theory

A New Field-Theoretical Approach

Authors: Lindgren, Ingvar

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  • 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
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eBook 107,09 €
price for Spain (gross)
  • ISBN 978-3-319-15386-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-15385-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-79216-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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 new chapters 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)


Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook 107,09 €
price for Spain (gross)
  • ISBN 978-3-319-15386-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-15385-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-79216-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Relativistic Many-Body Theory
Book Subtitle
A New Field-Theoretical Approach
Authors
Series Title
Springer Series on Atomic, Optical, and Plasma Physics
Series Volume
63
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-15386-5
DOI
10.1007/978-3-319-15386-5
Hardcover ISBN
978-3-319-15385-8
Softcover ISBN
978-3-319-79216-3
Series ISSN
1615-5653
Edition Number
2
Number of Pages
XVII, 406
Number of Illustrations
146 b/w illustrations, 5 illustrations in colour
Topics