Del 63 - Springer Series on Atomic, Optical, and Plasma Physics

Relativistic Many-Body Theory

A New Field-Theoretical Approach

Häftad, Engelska, 2013

Av Ingvar Lindgren

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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.

Produktinformation

Utgivningsdatum2013-07-15
Mått155 x 235 x 21 mm
Vikt581 g
FormatHäftad
SpråkEngelska
SerieSpringer Series on Atomic, Optical, and Plasma Physics
Antal sidor366
Upplaga2011
FörlagSpringer-Verlag New York Inc.
ISBN9781461428718

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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.

“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)