A Guide to Feynman Diagrams in the Many-body Problem by Richard D. Mattuck

A Guide to Feynman Diagrams in the Many-body Problem by Richard D. Mattuck

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New York : McGraw-Hill Book Company, [Undated]. Hardcover. 294 pages ; 25 cm. In original dust jacket with minimal wear. Former library copy rubber stamped marking on the front free endpaper. No other markings elsewhere. Binding is firm.


A Guide to Feynman Diagrams in the Many-Body Problem

This book gives an elementary presentation of the many-body problem and describes in simple terms the method of solving it by means of Feynman diagrams. A many-body system, such as a nucleus, solid, superfluid, or plasma, consists of a large number of particles which are interacting with each other. The many-body problem is the study of the effects which these interactions have on the properties of the system. Feynman diagrams, long famous for their success in elementary particle physics, provide one of the powerful new methods of attacking this problem. The book shows first how the diagram method works in a simple, classical case—the pinball machine—then generalizes to quantum systems, using intuitive arguments based on the analogy of the pinball case.

The framework of the presentation is provided by the modern picture of a many-body system as a set of 'elementary excitations' above a ground state. It is shown how the energy of the excitations and of the ground state may be obtained from the 'propagators' and 'vacuum amplitude' for the system. Calculation of these quantities by means of diagrams is demonstrated with the aid of the pinball model. The technique is used to find the energies in Hartree-Fock, random phase, and ladder approximations, and is applied to the electron gas and nuclear matter. Finally, the diagram method is generalized to finite temperatures and to superconductors. In the Appendix, there is a rigorous derivation of the diagram expansions for the propagator and vacuum amplitude.

The book is intended for experimentalists and non-specialists who have had a standard one-year course in quantum mechanics, and serves as an introduction to the existing texts in the many-body field. It is suitable for graduate students of physics, lecturers, and research workers in physics, and will be useful as supplementary reading in physical chemistry departments. It will also be of interest to physicists in industrial laboratories who are engaged in research in solid state, low temperature, nuclear and plasma physics.

About The Author

Richard D. Mattuck graduated from Harvard University with a B.A. in Physics. After doing research at the Lincoln Laboratory, Massachusetts and at Fort Detrick, Maryland, he went to the Massachusetts Institute of Technology, and was awarded his Ph.D. there in 1959 for a thesis written in Professor M. W. P. Strandberg's laboratory. He then worked successively at Professor Linde's laboratory at the Royal Institute of Technology, Stockholm, and at the Niels Bohr Institute, University of Copenhagen. Since 1963 he has been in Professor H. Hojgaard Jensen's solid state physics laboratory at the H. C. 0rsted Institute, University of Copenhagen, where, as Amanuensis, he teaches and does research on the many-body problem.

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