Limit search to available items
Book Cover
E-book
Author Lindgren, Ingvar, 1931-

Title Relativistic many-body theory : a new field-theoretical approach / Ingvar Lindgren
Published New York : Springer, ©2011

Copies

Description 1 online resource (xviii, 365 pages) : illustrations
Series Springer series on atomic, optical, and plasma physics ; v. 63
Springer series on atomic, optical, and plasma physics ; v. 63. 1615-5653
Contents 1. Introduction -- Part I. Basics: Standard Many-Body Perturbation Theory -- 2. Time-Independent Formalism -- 3. Time-Dependent Formalism
Part II. Quantum-Electrodynamics: One-Photon and Two-Photon Exchange -- 4. S-Matrix -- 5. Green's Functions -- 6. Covariant Evolution Operator and Green's Operator -- 7. Numerical Illustrations to Part II
Part III. Quantum-Electrodynamics Beyond Two-Photon Exchange: Field-Theoretical Approach to Many-Body Perturbation Theory -- 8. Covariant Evolution Combined with Electron Correlation -- 9. The Bethe--Salpeter Equation -- 10. Implementation of the MBPT--QED Procedure with Numerical Results -- 11. Analytical Treatment of the Bethe--Salpeter Equation -- 12. Regularization and Renormalization -- 13. Summary and Conclusions
Appendices -- A. Notations and Definitions -- B. Second Quantization -- C. Representations of States and Operators -- D. Dirac Equation and the Momentum Representation -- E. Lagrangian Field Theory -- F. Semiclassical Theory of Radiation -- G. Covariant Theory of Quantum ElectroDynamics -- H. Feynman Diagrams and Feynman Amplitude -- I. Evaluation Rules for Time-Ordered Diagrams -- J. Some Integrals -- K. Unit Systems and Dimensional Analysis
Summary 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 th
Bibliography Includes bibliographical references and index
Notes English
Print version record
Subject Many-body problem.
SCIENCE -- Waves & Wave Mechanics.
Physique.
Astronomie.
Many-body problem
Form Electronic book
LC no. 2011921721
ISBN 9781441983091
1441983090