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.
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17 of 17 people found the following review helpful:
5.0 out of 5 stars
Green's functions vs. Many-body physics,
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This review is from: Quantum Theory of Many-Particle Systems (Dover Books on Physics) (Paperback)
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".
11 of 11 people found the following review helpful:
4.0 out of 5 stars
Still a Standard Text,
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This review is from: Quantum Theory of Many-Particle Systems (Pure & Applied Physics) (Hardcover)
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.
13 of 14 people found the following review helpful:
5.0 out of 5 stars
solid text,
By chicken head cut off "mcscientist" (Gainesville/Orsay France) - See all my reviews
This review is from: Quantum Theory of Many-Particle Systems (Dover Books on Physics) (Paperback)
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.
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100
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- Fundamentals of Statistical Mechanics: Manuscript and Notes of Felix Bloch by Felix Bloch on 7 pages
- A Course on Many-Body Theory Applied to Solid-State Physics (World Scientific Lecture Notes in Physics) by Charles P. Enz on page 30, page 95, and page 255
- Electronic Structure Calculations for Solids and Molecules: Theory and Computational Methods by Jorge Kohanoff on page 27, page 49, and page 115
- Fluctuations Order & Defects by Gene F. Mazenko on page 245, page 359, and page 378
- Finite-Temperature Field Theory: Principles and Applications (Cambridge Monographs on Mathematical Physics) by Joseph I. Kapusta on page 11, page 115, and page 133
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