Book Description
This comprehensive textbook utilizes Green's functions and the equations derived from them to solve real physical problems in solid-state theoretical physics. Green's functions are used to describe processes in solids and quantum fluids and to address problems in areas such as electron gas, polarons, electron transport, optical response, superconductivity and superfluidity.
The updated third edition features several new chapters on different mean-free paths, Hubbard model, Coulomb blockade, and the quantum Hall effect. New sections have been added, while original sections have been modified to include recent applications.
This text is ideal for third- or fourth-year graduate students and includes numerous study problems and an extensive bibliography.
Customer Reviews:
Good book but so much money.......2006-07-22
This book is massive and covers a huge spectrum of material. Probably not cost effective in comparison to Fetter and Walecka unless you get it for under eighty bucks. I enjoyed it quite a bit until the Postal Service stole it from me.
Containing too many misprints........2001-11-19
Unfortunately, the 3rd edition of Mahan's book contains enormous number of misprints. Sometimes, it is impossible to understand what is meant by the author without consulting the previous edition. For example, in Sec. 4.1.5. the author refers in the text to the equation which apparently should be between Eqs. (4.126) and (4.127) but which had been omitted. At the same time, some evident drawbacks of the previous edition have not been corrected. For example, the definition of the thermodynamic average used in Sec. 3.6 is different from that used in the previous sections, although it is not mentioned in the text. Despite the book is an excellent introduction into the field of Many-Particle Physics, I would recommend to the customer to either buy the previous edition or to wait for a new one.
Bien detaille, comprehensible........1999-03-16
Un excellent livre sur un sujet d'actualite. G. Mahan discute de nombreuses en detaillant a chaque fois les etapes necessaires et en ne negligeant pas les explications ni les liens entre les differentes theories. Vu le prix, courez a votre bibliotheque pour vous le procurer!
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:
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.
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".
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.
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.
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!
Book Description
This introductory textbook gives a uniform presentation of nuclear and particle physics. The first part, Analysis, is devoted to disentangling the substructure of matter. This part shows that experiments designed to uncover the substructures of nuclei and nucleons have a similar conceptual basis, and lead to the present picture of all matter being built out of a small number of elementary building blocks and a small number of fundamental interactions. The second part, Synthesis, shows how the elementary particles may be combined to build hadrons and nuclei. The fundamental interactions responsible for the forces in all systems become less and less evident in increasingly complex systems. Such systems are in fact dominated by many-body phenomena. A section on neutrino oscillations and one on nuclear matter at high temperatures bridge the field of "nuclear and particle physics" and "modern astrophysics and cosmology". New developments are covered, e. g. in sections on the double beta decay including a discussion of the possibility of a neutrinoless decay and its implications for the standard model. This concise text, translated into many languages, has become a standard reference for advanced and undergraduate courses.
Customer Reviews:
Up to date and State of the art.......2000-08-09
Povh, Rith, Scholz, and Zetsche have written an exceptional book about nuclei and particles. It is comprehensive, but not too elaborate to confuse the reader, it is up to date, but provides a thorough guide to the contemporary topics, and it has an unusual structure that is very compelling: In part one, the decomposition of matter down to the structures of elementary particles is presented, in part two, the synthesis of composite systems out of these fundamental particles and their interactions is discussed. This approach is - from a structural point of view - a brilliant idea.
So why do I rate this book with 4 stars only? Maybe because I personally like Donald Perkins' book on high-energy phyics even better (and if the new edition is as good as announced it will probably remain my preferece). The nuclear physics content (my personal field of interest) is also only briefly addressed in the book by Povh et al. (Perkin's book of course contains no introduction to nuclear structure at all, even on a very rough scale, but it has its focus clearly only on high-energy physics whereas Povh et al. also address nuclear structure issues). Clearly, Povh et al. focus on the introduction to a wide field where addtional reading is required anyway.
It would be highly desirable if the authors could enlarge their interesting introductory textbook by a few topical results of nuclear structure physics. But all in all, it is a very good approach to the world of nuclei, particles, and their interactions.
Book Description
The book gives an introduction to the concepts and methods of many-body problems and quantum fields for graduate students and researchers. The formalism is developed in close conjunction with the description of a number of physical systems: cohesion and dielectric properties of the electron gas, superconductivity, superfluidity, nuclear matter and nucleon pairing, matter and radiation, interaction of fields by particle exchange and mass generation. Emphasis is put on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas in different domains of physics. The exposition is self-contained and displays in a coherent way all details of derivations starting from a basic knowledge of quantum mechanics and classical electromagnetism.
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:
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.
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.
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:
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.
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.
Average customer rating:
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Calogero-Moser-Sutherland Models (CRM Series in Mathematical Physics)
Manufacturer: Springer
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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.
Product Description
Semiconductor nanostructures are a field of enormous and still-growing research interest. On one hand, they are already realized in mass products, e.g., in high-electron-mobility field-effect transistors and quantum-well lasers. On the other hand, they allow, in specially tailored systems, the investigation of fundamental properties, such as many-particle interactions of electrons in reduced dimensions. This book attempts to fill the gap between general semiconductor textbooks and research articles. It provides (i) an introduction into the basic concepts of inelastic light scattering on semiconductor nanostructures and into their fabrication and basic properties, and, (ii) a description of the most striking recent advances in this field. Each chapter is as self-contained as possible. The monograph should interest researchers, experimentalists as well as theorists, and research students working in the field. It should also be interesting for graduate students with knowledge in solid-state physics and quantum mechanics who are interested in optical spectroscopies of semiconductors.
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Perspectives in Many-Particle Physics
R. A. Broglia , and
J. R. Schrieffer
Manufacturer: North-Holland
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ASIN: 0444820043 |
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These proceedings present a range of topics presently at the forefront of many-body physics. These include microscopic systems such as fullerenes and the atomic nucleus, mesoscopic systems like metal clusters with a sizable but still small number of atoms, and condensed matter. Also dealt with is pairing in matter at very low densities, new phases of carbon, high-temperature superconductivity and supershells. In particular, methods developed in the study of the atomic nucleus which are becoming instrumental in the exploration of the properties of metal clusters are dealt with, as are nonperturbative approaches to strongly correlated fermions in condensed matter which are now becoming a source of inspiration in trying to deal with basic open problems in the study of the nuclear structure.
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Many-Particle Spectroscopy of Atoms, Molecules, Clusters and Surfaces
Manufacturer: Springer
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ASIN: 0306465884 |
Book Description
This book is the proceedings of an International Conference on Many-Particle Spectroscopy of Atoms, Molecules, and Surfaces, held 26--29 July 2000, in Halle (Saale), Germany. In a many-particle coincidence experiment one measures the spectrum of a few particles simultaneously emitted from a probe. The emission process is usually stimulated by an external perturbation, such as the impact of an electron, photon, or ion beam. The recorded spectrum carries important information on a variety of material properties, such as optical and magnetic characteristics. In particular, coincidence studies yield detailed information on the many-body nature of the matter. Correspondingly, many-body theoretical concepts are required to interpret the experimental findings and to direct future experimental research. This book gives a snapshot of the present status of multi-particle coincidence studies from both theoretical and experimental points of view. It also includes selected topical review articles that highlight the recent achievements and the power of coincident studies. It covers theoretical and experimental coincidence on single and double ionisation and/or excitations induced by electrons, positrons, photons, and ions. The systems under investigation range from a single atom to clusters and surfaces.
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- Mirror Symmetry (Clay Mathematics Monographs, V. 1)
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- Nonlinear Finite Elements for Continua and Structures
- Offside: Soccer and American Exceptionalism.
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