Quantum Theory of Many-Particle Systems
Average customer rating: 4.5 out of 5 stars
  • Good introductory read on MBQM
  • Green's functions vs. Many-body physics
  • solid text
  • Still a Standard Text
  • classical text for many particle theory
Quantum Theory of Many-Particle Systems
Alexander L. Fetter , and John Dirk Walecka
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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  1. Methods of Quantum Field Theory in Statistical Physics (Selected Russian Publications in the Mathematical Sciences.) Methods of Quantum Field Theory in Statistical Physics (Selected Russian Publications in the Mathematical Sciences.)
  2. A Guide to Feynman Diagrams in the Many-Body Problem (Dover Books on Physics and Chemistry) A Guide to Feynman Diagrams in the Many-Body Problem (Dover Books on Physics and Chemistry)
  3. Quantum Many Particle Systems (Advanced Book Classics) Quantum Many Particle Systems (Advanced Book Classics)
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ASIN: 0486428273

Book 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:

5 out of 5 stars Good introductory read on MBQM.......2006-02-03

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.

5 out of 5 stars Green's functions vs. Many-body physics.......2005-01-15

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".

5 out of 5 stars solid text.......2004-12-13

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.

so I would get this over abrikosov et al, it's not as complete as mahan, 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.

4 out of 5 stars Still a Standard Text.......2004-01-03

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.

4 out of 5 stars classical text for many particle theory.......2003-10-14

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!
Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford Graduate Texts)
Average customer rating: 2.5 out of 5 stars
  • Utility depends on need
  • mixed
Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford Graduate Texts)
Xiao-Gang Wen
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Paperback

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ASIN: 019922725X

Book Description

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Customer Reviews:

3 out of 5 stars Utility depends on need.......2006-06-28

This book reflects the research interests of the author, who is a genius, and should not be considered introductory, even at the graduate level. I do not find this book useful for learning anything for the first time. However, it provides an interesting perspective on many classic topics in many-body theory. Unlike the previous reviewer, I found the grandious statements a wonderful feature since most textbooks lack any of the author's voice. Reading this book is closer to attending a lecture than any text of it's kind I've read. I get this book from the library and I wouldn't pay $100 for it especially since the author posts his lectures notes on his website and much of the later material can be obtained from PROLA.

2 out of 5 stars mixed.......2004-08-19

This book is really awkward. There is some standard many body theory but no beginning student will be able to learn it from this book alone. Second of all there are some very awkward statements like "fermions ..behave like non-local excitations because fermions cannot be created alone." (p146)While his line of reasoning for a particular model is decently clear, the statement about the nonexistance of a lone fermion is ridiculous. He makes occaisional grandiose statements like " [his pet theory] provides and answer to the origin of light and fermions" (p9). I find the calculations sketchy at best --you can learn deep things but at great expense. overall i find this book to mix ridiculousness and obtuse reading with insight. I think it's a poor book because pedagogy should be paramount in a textbook.
Quantum Many Particle Systems (Advanced Book Classics)
Average customer rating: 4.5 out of 5 stars
  • Clear, precise, and modern
  • An important book for beginner cond-mat physicists and more.
Quantum Many Particle Systems (Advanced Book Classics)
John W. Negele , and Henri Orland
Manufacturer: Westview Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0738200522

Book Description

This volume explains the fundamental concepts and theoretical techniques used to understand the properties of quantum systems used to understand the properties of quantum systems having large numbers of degrees of freedom. A number of complimentary approaches are developed, including perturbation theory; nonpurturbative approximations based on functional integrals; general arguments based on order parameters; symmetry, and Fermi liquid theory; and stochastic methods. Each approach provides its own insights and quantitative capabilities, and in conjunction provide a powerful framework for understanding a wide variety of physical systems. Written at a level for graduate students with no prior background in manybody theory, this classic text is intended for physicists in solid state physics, field theory, atomic physics, condensed matter physics, quantum chemistry, and nuclear physics.

Customer Reviews:

5 out of 5 stars Clear, precise, and modern.......2002-09-11

A great physics book for field theory applied to condensed
matter and sometimes nuclear physics problems. The authors
are EXTREMELY careful mathematically and really don't skip
any steps or shove stuff under the rug; in fact, the first
chapter is just all math about how to do integrals and path
integrals and field integrals and deal with Grassman numbers.
A bit unusual for a physics book, but that's their style.

The rest of the book deals with the usual and other material:

zero-temperature Green's functions and perturbation theory
(for energy, Green's function, etc.) The treatment is detailed
and relatively exhaustive. Then there is the same for finite-
temperature. The earlier sections on linear response are
concise and one of the best treatments of the subject I have
seen leading directly to the fluctuation dissipation expression
(after this book I realized this vaunted "fluctuation-dissipation" that no one can explain is just
a straightforward thing about commutators and pert. theory).

The book also has other good stuff: a chapter on mean field theory, Landau-Ginzburg theory, order parameters, and a nice
discussion about spontaneous symmetry breaking that helps
clarify a bunch of stuff. Then there is a whole chapter on
further aspects of one-particle Green's functions (Dyson
equation, solving for poles, quasiparticles, satellites, etc.)
that is pretty good and gets the physical point across. There
is also a chapter on statistical (monte carlo, numerical, etc.)
methods for doing quantum many body problems. While some of
the methods are not the most up to date or modern, the basics
are all there (Monte Carlo, Hubbard-Strataonvich (spelling?),
inverting matrices via Monte Carlo, some stuff about lattice
systems, Langevin equation simulation for Monte Carlo, updating
problems, etc.) There is also a chapter on more advanced
functional integration stuff. Also there is a nice description
of the loop expansion and whatnot.

The book is very well written, has no errors as far as I can
tell, and is exhaustive on what it treats. The problems at
the end of the first few chapters deal with physics problems
and help build intuition whereas the texts in these chapters
are more formal. The book could use some more physical insights
sprinkled throughout, but that is not too much of a drawback.

The book is based on functional integration (Feynman integral)
methods for field theory: this is the modern way folks do it
and it is a powerful way of doing field theory both to
derive results, connect results, do expansions and what not,
and also for certain kinds of monte carl computations. So
having read this, the reader is up to date on a pretty modern
view of field theory in condensed matter (and somewhat on
nuclear physics).

Highly recommended unless you can't stand precise and long
mathematical treatments. My only misgiving is that sometimes
I wish the authors provided more physical insights for certain
concepts and gave some examples rather than "just the math";
but they do this in other parts of the book, so perhaps
my complaint, which is not that serious, is more about the
uneven way this is done. Nevertheless, this is 5/5 and a book
you will read many times and learn from many times.

4 out of 5 stars An important book for beginner cond-mat physicists and more........2000-04-10

A very good introduction to the many particle systems, includes all from the basics of coherent states to very complex parts of theory.
Calogero-Moser-Sutherland Models (CRM Series in Mathematical Physics)
Average customer rating: Not rated
    Calogero-Moser-Sutherland Models (CRM Series in Mathematical Physics)

    Manufacturer: Springer
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 0387989684

    Book Description

    In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle problem. J. Moser subsequently showed that the classical counterparts to these models is also amenable to an exact analytical approach. The last decade has witnessed a true explosion of activities involving Calogero-Moser-Sutherland models, and these now play a role in research areas ranging from theoretical physics (such as soliton theory, quantum field theory, string theory, solvable models of statistical mechanics, condensed matter physics, and quantum chaos) to pure mathematics (such as representation theory, harmonic analysis, theory of special functions, combinatorics of symmetric functions, dynamical systems, random matrix theory, and complex geometry). The aim of this volume is to provide an overview of the many branches into which research on CMS systems has diversified in recent years. The contributions are by leading researchers from various disciplines in whose work CMS systems appear, either as the topic of investigation itself or as a tool for further applications.
    Asymptotic Methods in Quantum Mechanics: Applications to Atoms, Molecules, and Nuclei (Springer Series in Chemical Physics)
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      Asymptotic Methods in Quantum Mechanics: Applications to Atoms, Molecules, and Nuclei (Springer Series in Chemical Physics)
      S.H. Patil , and K.T. Tang
      Manufacturer: Springer
      ProductGroup: Book
      Binding: Hardcover

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      ASIN: 3540672400

      Book Description

      This book describes some general properties of wave functions, with an emphasis on their asymptotic behaviour. The asymptotic region is particularly important since it is the wave function in the outer region of an atom, a molecule or a nucleus, which is sensitive to external interaction. An analysis of these properties helps in constructing simple and compact wave functions and in developing a broad understanding of different aspects of the quantum mechanics of many-particle systems. As applications, wave functions with correct asymptotic forms are used to generate a large data base for susceptibilities, polarizabilities, interatomic potentials, and nuclear densities.
      Many-Body Theory of Correlated Fermion Systems: Proceedings of the VI Hispalensis International Summer School : Oromana, Sevilla, Spain, June 9-12, 1997
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        Many-Body Theory of Correlated Fermion Systems: Proceedings of the VI Hispalensis International Summer School : Oromana, Sevilla, Spain, June 9-12, 1997
        Spain) Hispalensis International Summer School: Many-Body Theory of Correlated Fermion Systems (6th : 1997 : Seville
        Manufacturer: World Scientific Publishing Company
        ProductGroup: Book
        Binding: Hardcover

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        ASIN: 9810233833
        Nucleon-Hadron Many-Body Systems: From Hadron-Meson to Quark-Lepton Nuclear Physics (Oxford Studies in Nuclear Physics)
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          Nucleon-Hadron Many-Body Systems: From Hadron-Meson to Quark-Lepton Nuclear Physics (Oxford Studies in Nuclear Physics)

          Manufacturer: Oxford University Press, USA
          ProductGroup: Book
          Binding: Hardcover

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          ASIN: 0198519001

          Book Description

          The main aim of this book is to provide a broad overview of nuclear physics in terms of both hadron-meson dynamics and quark-lepton dynamics. It covers topics such as elastic and inelastic scattering, spin-isospin responses and charge exchange reactions, giant resonances, nuclear clusters, nuclear physics with strange flavour, and others. All subjects are presented from the experimental point of view, and enough prerequisite material is included for the book to be accessible to graduate students. From this the reader is led through to discussions of the important questions of current research. H. Ejiri is Director of the Research Centre for Nuclear Physics (RCNP) at the University of Osaka, Japan. H. Toki is Professor of Physics at the University of Osaka, Japan.
          Pairing in Fermionic Systems: Basics Concepts and Modern Applications (Series on Advances in Quantum Many-Body Theory) (Series on Advances in Quantum Many-Body Theory)
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            Pairing in Fermionic Systems: Basics Concepts and Modern Applications (Series on Advances in Quantum Many-Body Theory) (Series on Advances in Quantum Many-Body Theory)

            Manufacturer: World Scientific Publishing Company
            ProductGroup: Book
            Binding: Hardcover

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            ASIN: 9812569073
            PROBLEMS IN QUANTUM THEORY OF MANY-PARTICLE SYSTEMS:  A Lecture Note and Reprint Volume.
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              PROBLEMS IN QUANTUM THEORY OF MANY-PARTICLE SYSTEMS: A Lecture Note and Reprint Volume.
              L. Van, et al. Hove
              Manufacturer: W. A. Benjamin, Inc. ,
              ProductGroup: Book
              Binding: Hardcover
              ASIN: B000O12JX6
              Quantum Theory of Many Particle Systems
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                Quantum Theory of Many Particle Systems

                Manufacturer: Benjamin, 1961
                ProductGroup: Book
                Binding: Hardcover
                ASIN: B000GP64TA

                Memory of the Body: Essays on Theater and Death
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                  Memory of the Body: Essays on Theater and Death
                  Jan Kott
                  Manufacturer: Northwestern University Press
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