Ingvar Lindgren

Relativistic Many-Body Theory

A New Field-Theoretical Approach

• Broschiertes Buch

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.

Produktdetails

• Springer Series on Atomic, Optical, and Plasma Physics 63
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4614-2871-8
• 2011
• Seitenzahl: 384
• Erscheinungstermin: 15. Juli 2013
• Englisch
• Abmessung: 235mm x 155mm x 21mm
• Gewicht: 581g
• ISBN-13: 9781461428718
• ISBN-10: 1461428718
• Artikelnr.: 38514416

Inhaltsangabe

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.

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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.

Rezensionen

"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)