Relativistic Many-Body Theory
Springer-Verlag New York Inc.
978-1-4614-2871-8 (ISBN)
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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.
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.
| Reihe/Serie | Springer Series on Atomic, Optical, and Plasma Physics ; 63 |
|---|---|
| Zusatzinfo | XVIII, 366 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Optik |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Bethe-Salpeter equation • calculations in quantum electrodynamics • many-body perturbation theory • relativistic many-body theory |
| ISBN-10 | 1-4614-2871-8 / 1461428718 |
| ISBN-13 | 978-1-4614-2871-8 / 9781461428718 |
| Zustand | Neuware |
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