Ingvar Lindgren

Relativistic Many-Body Theory (eBook, PDF)

A New Field-Theoretical Approach

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 366
• Erscheinungstermin: 30. April 2011
• Englisch
• ISBN-13: 9781441983091
• Artikelnr.: 37342683

Inhaltsangabe

From the 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.

Rezensionen

"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)

"This well-written book, aimed at theoretical and applied physicists, describes some recent progress in the treatment of atomic and molecular systems, possibly with many electrons and highly charged. ... The book is, in my opinion, suitable for physics graduate students, and for specialists interested in being introduced to the field-theoretical approach to many body perturbation theory." (Marco Falconi, Mathematical Reviews, July, 2017)

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 guidefor advanced graduate students and researchers." (Gert Roepstorff, Zentralblatt MATH, Vol. 1218, 2011)