A Guide to Feynman Diagrams in the Many-body Problem (Dover Books on Physics) Paperback – 1 Nov 1992
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From the Back Cover
"A great delight to read."--Physics Today
Among the most fertile areas of modern physics, many-body theory has produced a wealth of fundamental results in all areas of the discipline. Unfortunately the subject is notoriously difficult and, until the publication of this book, most treatments of the topic were inaccessible to the average experimenter or non-specialist theoretician.
The present work, by contrast, is well within the grasp of the nonexpert. It is intended primarily as a "self-study" book that introduces one aspect of many-body theory, i.e. the method of Feynman diagrams. The book also lends itself to use as a reference in courses on solid state and nuclear physics which make some use of the many-body techniques. And, finally, it can be used as a supplementary reference in a many-body course.
Chapters 1 through 6 provide an introduction to the major concepts of the field, among them Feynman diagrams, quasi-particles, and vacuum amplitudes. Chapters 7 through 16 give basic coverage to topics ranging from Dyson's equation and the ladder approximation to Fermi systems at finite temperature and superconductivity. Appendixes summarize the Dirac formalism and include a rigorous derivation of the rules for diagrams. Problems are provided at the end of each chapter and solutions are given at the back of the book.
For this second edition, Dr. Mattuck, formerly of the H. C. Orsted Institute and the University of Copenhagen, added to many chapters a new section showing in mathematical detail how typical many-body calculations with Feynman diagrams are carried out. In addition, new exercises were included, some of which gave the reader the opportunity to carry out simpler many-body calculations himself. A new chapter on the quantum field theory of phase transitions rounds out this unusually clear, helpful, and informative guide to the physics of the many-body problem.
Unabridged Dover (1992) republication of the second edition published by McGraw-Hill International Book Company.
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Top customer reviews
A Guide to Feynman Diagrams in the Many-body Problem makes you deconfused.
The book has five levels; pre-kindergarten, kindergarten, elementary, intermediate and advanced. The pre-kindergarten part leeds you through the field of many-particle theory with pictures, cartoons and no mathematics. The kindergarten part gives an introduction "somewhere between Donald Duck and the American Journal of Physics". The elementary part are the standard many-body introduction. The intermediate part gives a derivation diagram rules and the advanced part shows in detail the mathematics behind typical many-body calculations.
One more thing: The book is great fun to read.
It's a great book to read too, very interesting and well written.
how to use the Feynman diagramms, to learn the basics. After that I moved onto advanced books related with
the Quantum field theory, such as Abrisokov book. The book also comes with solution to exercises, and that's why I think
it's a good book for self-study. Also the book is quite cheap, you can never go wrong with this book in my opinion!.
Most helpful customer reviews on Amazon.com
The author successfully injects some humor into a great introduction to a solution technique for the many body problem. This is a graduate level text, so familiarity with mathematical notation for differentiation, integration and matrix algebra is required as the objectives of the book is to show you how to convert to and from Feynman's pictograms to the traditional formulation.
Fun to read and guys ......look at the price. Use it for QFT as well as Condensed matter. I am sure that if you buy it you wont regret it and that you wont ever depart it, return it or whatever.
Go for it. I am still in doubt.....if I tell you guys about it then who is going to come and ask me about those sneaky questions and all that confusions. Those who want to act as if they know everything and are superior than others then please stay away from my review, go impress someone else.
For example, I greatly admire the book by Abrikosov's et al. (AGD), and I completely agree that after reading it (and Keldysh paper) one is completely prepared to using Green's functions in serious research. But the terms like "rainbow", "bubble", "particle-particle" and "particle-hole" propagatprs, though widely used and simetimes semi-obvious, are not discussed systematically in any of the celebrated AGD, Mahan, Fetter&Walecka, Negele&Orland etc.
Thus, the Mattuck's book appear to be not only funny, useful, and explaining a lot of physics (where its value can be compared with the quantum mechanical parts of the Feynman Lectures on Physics), but it also briges a gap in terminology between the basic text and the scientific slang.
In conclusion, I deeply regret that there is no similar book on Schwingers approach to the many-body physics.
Second, it is not a kindergarten book! You can find material on kindergarten, elementary or intermediate level on Many Body Theory in this book.
Third, all exercises are answered at the end of the book which can help to get a hand on solving problems (although there is not enough exercises on each chapter which can be regarded as a problem)
Fourth, it is a clear, to the point, easy to follow and intuitive self study book on Many Body Theory.
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