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Quantum Theory of Many-Particle Systems


by Alexander L. Fetter, John Dirk Walecka

List Price: $34.95
Price: $23.07
You Save: $11.88 (34%)
Available: Usually ships in 24 hours
Sales Rank: 99412
Studio: Dover Publications
Binding: Paperback
Number Of Pages: 617
Publication Date: June 20, 2003
Publisher: Dover Publications


EDITORIAL REVIEWS

Product Description
This self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 149 figures. 8 tables. 1971 edition.


CUSTOMER REVIEWS (Average Customer Rating: 4.5 based on 9 reviews)

Good introductory read on MBQM  
The Fetter and Walecka is an excellent introductory read on many-body quantum mechanics. It slowly introduces new concepts, beginning from the basics of second quantization, and proceeds through the entire theory using Wick's theorem and second-quantized methods. The section on examples gives the book a nice general appeal. As a condensed matter physicist, I can focus on getting the basic examples given in my section down, while still getting a good sampling of other branches of physics in a well-written way.

Although it should not be the end of one's study of many-body quantum mechanics, it should certainly be the beginning. The Abrikosov, although very thorough and covering a wide range of topics, is written more as a list of results than as a text to learn from. Furthermore, one would probably want to hunt down a text like the Schulman "Methods and Applications of Path Integration" or the Negele "Quantum Many-Particle Systems" to see the imaginary time and path integral formulations of these topics.
February 03, 2006

Green's functions vs. Many-body physics  
It is the best text on Green's functions, especially if you are a kind of person who really reads through books trying to figure the things out. Probably the only book which succeeds in promoting analytic continuation for newcomers (although I also recomment appendix in the book by Kadanoff&Baym): it seems like many people get impression of this being a topic of secondary importance, whereas it is the conerstone of the imaginary time techniques.
I also recommend Abrikosov et al. as a classic and a good sample of how the things are done in majority of the papers (and the Dover edition is really cheap).
Sorry for Mahan, as it makes a good reference book, but not a book you can learn from.
I found that more practical people give preference to the book by Jauho and Haug- it is not a bad one, has Keldysh technique, and containes useful references to important review papers.
Finally, I recommend the book by Negele and Orland as a more modern look at "many-body physics" as it is versus "Green's functions books".
January 14, 2005

solid text  
I find F&W's writing lucid and their math clear. it's more fleshed out than a text like mahan. the only drawback is that it's old fashioned. hbar isnt 1 like many authors.

so I would get this over abrikosov et al, and you'd need another text if you wanted to learn about path integral techniques, but pound for pound (and considering that dover reprints are cheap) it holds its own.

it's good for bosons (BEC stuff these days), and superconductors, weak on interacting fermions bc it focused on the nuclear problem instead of metals.
December 12, 2004

Still a Standard Text  
Very well written and with a comprehensive explanation of the basics of advanced quantum theory. This is the place for understanding about computing propagators and Feynman diagrams to arbitrary order.

Plus, the Dyson equation! At last, you can find out what made Freeman Dyson famous amongst physicists. You can decide whether this ranks in importance to Feynman's and Schwinger's discoveries.

The problem sets are nontrivial. Which will be appreciated by you, AFTER you have attempted them. (Whilst you are in an allnighter, trying to finish a problem set, your opinion may differ!)

The book does not cover superstrings, because those came after its publication.
January 03, 2004


classical text for many particle theory  
This book is one of the most famous textbooks for the many
particle theory. I like it and recommend to anyone who studies
many particle theory for the first time. But, I should make some
comments on this book. First, this book does not contain any
descriptions for the path integral method, which is now very
popular in the field of many particle theory and is compactly
explained in Negele and Orland. Second, applications seems to be
somewhat old. This is inevitable and not author's fault. For
example, modern nuclear theory goes far beyond the RPA. Third,
authors focused on the perturbational expansion of the Green's
function and did not give explanations how to use the Feynman
diagrams to calculate the energy corrections for the fermion
systems, which is found in March, Raimes and Gross.

Anyway, this is a good book. I hope everyone likes it!
October 13, 2003



SIMILAR PRODUCTS

Methods of Quantum Field Theory in Statistical Physics (Selected Russian Publications in the Mathematical Sciences.)
by A. A. Abrikosov

A Guide to Feynman Diagrams in the Many-Body Problem (Dover Books on Physics and Chemistry)
by Richard D. Mattuck

Introduction to Superconductivity: Second Edition (Dover Books on Physics)
by Michael Tinkham

Quantum Many-particle Systems (Advanced Book Classics)
by John W. Negele, Henri Orland

Group Theory and Quantum Mechanics
by Michael Tinkham

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