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!
Average customer rating:
- A very useful book on Keldysh techniques
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Quantum Kinetics in Transport and Optics of Semiconductors (Springer Series in Solid-State Sciences)
Hartmut Haug , and
Antti-Pekka Jauho
Manufacturer: Springer
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Green's Functions in Quantum Physics (Springer Series in Solid-State Sciences)
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Condensed Matter Field Theory
ASIN: 3540616020 |
Book Description
Quantum Kinetics in Transport and Optics of Semiconductors deals with the quantum kinetics for transport in low-dimensional microstructures and for ultrashort laser-pulse spectroscopy. The nonequilibrium Green function theory is described and used for the derivation of the quantum kinetic equations. Numerical methods for the solution of the retarded quantum kinetic equations are discussed and results are presented for quantum high-field transport and for mesoscopic transport phenomena. Quantum beats, polarization decay and non-Markovian behaviour are treated for femtosecond spectroscopy on a microscopic basis.
Customer Reviews:
A very useful book on Keldysh techniques.......1999-05-28
I recommend this book to anyone who wants an introduction to nonequilibrium Green function techniques. It is much more readible and up-to-date than Kadanoff and Baym's "Quantum Statistical Mechanics".
Book Description
This revised and updated Second Edition of Green's Functions and Boundary Value Problems maintains a careful balance between sound mathematics and meaningful applications. Central to the text is a down-to-earth approach that shows the reader how to use differential and integral equations when tackling significant problems in the physical sciences, engineering, and applied mathematics.
Ivar Stakgold incorporates developments that have altered the field of applied mathematics in recent decades—particularly in areas of modeling, Fourier analysis, fixed-point theorems, inverse problems, asymptotics, and nonlinear methods. This modernized text, however, retains the many features that made its predecessor one of the most successful graduate-level texts of its kind, including:
- A unique blend of topics
- A balanced discussion of theory and applications
- 44 illustrations and numerous practical examples that supplement the text
- Chapter introductions and clear explanations of basic concepts
- Plentiful exercises, many of which are new to this edition
Green's Functions and Boundary Value Problems is an ideal text for a modern course in applied mathematics designed for students in the physical sciences, engineering, and mathematics. It is also an excellent reference for practicing professionals in these areas.
Customer Reviews:
Systematic, not a 'cookbook'.......2002-05-10
Actually, I preferred the first (2 volume) edition of this work and used the first volume along with Whittaker and Watson to teach first semester math methods to physics and engineering students. This book provides the most readable, systematic approach to boundary-value problems, based on Weyl's lemma. Not to be compared with the usual cookbooks on math methods because it shows you how to construct nonstandard orthogonal expansions, not merely the usual Fourier, Bessel and Legendre variety. Also very good on Dirac's delta funaction. For second semester, for years I also used Bender and Orszag.
G is called 'the Green function' and not 'the Green's function' (one does not say 'the Bessel's function').
This is one of the best books on applicable PDE's.......1997-02-26
This is a classic text. The authors not only knows much more than is in the book but also has a clear idea about the applied side of math.
A close competitor is Sobolev's book on PDE's.
Average customer rating:
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Progress in Nonequilibrium Green's Functions II: Proceedings of the Conference Dresden, Germany 19-23 August 2002
Dirk Semkat
Manufacturer: World Scientific Pub Co Inc
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ASIN: 9812382712 |
Book Description
Equilibrium and nonequilibrium properties of correlated many-body systems are of growing interest in many areas of physics, including condensed matter, dense plasmas, nuclear matter and particles. The most powerful and general method which is equally applied to all these areas is given by quantum field theory. This book provides an overview of the basic ideas and concepts of the method of nonequilibrium Green's functions, written by the leading experts and presented in a way accessible to non-specialists and graduate students. It is complemented by invited review papers on modern applications of the method to a variety of topics, such as optics and quantum transport in semiconductors; superconductivity; strong field effects, QCD, and state-of-the-art computational concepts — from Green's functions to quantum Monte Carlo and time-dependent density functional theory.
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Quantum Statistical Mechanics
Leo Kadanoff , and
Gordon Baym
Manufacturer: Westview Press
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Quantum Theory of Many-Particle Systems
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Statistical Physics: Statics, Dynamics and Remormalization
ASIN: 020141046X |
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Theory of Mode Conversion and Tunneling in Inhomogeneous Plasmas
D. G. Swanson
Manufacturer: Wiley-Interscience
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Plasma Waves, 2nd Edition (Series in Plasma Physics)
ASIN: 0471247766 |
Book Description
A fresh look at the phenomenon of mode conversion with tunneling.
This volume provides a thorough analysis of plasma wave resonance absorption--a mode conversion process used in wave heating and diagnostics worldwide. The only book to incorporate mode conversion into a general treatment of plasma physics and plasma waves, it describes a broad range of applications and develops methods of mode conversion that are more advanced and precise than others in use today. This monograph presents the complete theory underlying the diagnostic implications of the process, combining estimates of tunneling, reflection, conversion, and absorption with emission. It surveys two decades' worth of developments in the field and:
* Brings together a wealth of information previously scattered in the professional literature
* Details numerous analytical and numerical results, many of which are published here for the first time
* Proves the surprising result that the phenomena of tunneling and absorption are independent
* Shows the link between the absorption and emission processes associated with resonances
* Features dozens of illustrations, as well as an extensive bibliography and references
* Appends a collection of mathematical formulas useful in plasma physics
* Offers via e-mail a variety of Fortran codes covering the examples in the book.
Theory of Mode Conversion and Tunneling in Inhomogeneous Plasmas is an essential reference for researchers working in plasma physics, space plasma physics, and fusion energy fields, and for anyone developing codes in plasma wave heating modeling. Its tutorial approach makes it invaluable for graduate students taking courses in plasma waves--whether in physics, electrical engineering, or nuclear engineering.
Average customer rating:
- Excellent overview on Kadanoff-Baym equations
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Progress in Nonequilibrium Green's Functions
Manufacturer: World Scientific Publishing Company
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ASIN: 9810242182 |
Book Description
Proceedings of the conference 'Kadanoff-Baym Equations: Progress and Perspectives for Many-Body Physics,' Rostock, Germany, September 20-24, 1999. Contains articles written by leading experts which are devoted to fundamental questions of the theory and to modern applications in a variety of fields including condensed matter, plasmas, and nuclear matter.
Customer Reviews:
Excellent overview on Kadanoff-Baym equations.......2000-07-15
This book provides a very interesting overview on nonequilibrium Green's functions. It will be of use for physicists new to the field but for experts as well. Of particular interest are the historical reviews of Paul Martin and Gordon Baym. Scientists active in the field will appreciate the details on numerical solutions of the Kadanoff-Baym equations for plasmas, semiconductors and nuclear matter.
Book Description
This text takes the student with a background in undergraduate physics and mathematics towards the skills and insights needed for graduate work in theoretical physics. The author uses Green's functions to explore the physics of potentials, diffusion, and waves. These are important phenomena
in their own right, but this study of the partial differential equations describing them also prepares the student for more advanced applications in many-body physics and field theory. Calculations are carried through in enough detail for self-study, and case histories illustrate the interplay
between physical insight and mathematical formalism. The aim is to develop the habit of dialogue with the equations and the craftsmanship this fosters in tackling the problem. The book is based on the author's extensive teaching experience.
Customer Reviews:
Highly accessible and practiacally organized........2005-10-15
The content is well organized: you don't have to read the whole book to extract the information you need. Personally, I needed to find a Green's function for a modified diffusion equation with an unusual set of boundry/intial value conditions. Reading chapters 8,9 made this task very simple. Addionally, the author makes liberal use of the propagator, making this book ideal for physicists.
Beautifully presents GF for 3 classic equations. Well done!.......1998-10-30
Designed for senior-level or first-year graduate students, Barton's book is a beautiful introduction to the classic analytical method of Green's functions (GF). Much of the information here is available in applied math sources, but Barton has pulled information together that is par ticulary useful for physicists and engineers. The book was intended as a text but is comprehensive enough to serve as a reference. The advantage of the method of GF is that there is a unique GF for each geometry. If you have the GF, then you can solve any problem on that geometry by evaluating an integral equation. Barton calls this integral equation the "magic rule". The book begins with a very nice introduction to the Dirac delta function. The book covers three classic linear partial differential equations: Poisson equation, heat equation, and wave equation. Since the character of these equations is quite different, the GF is introduced for each equation. Several methods are shown for finding GF's and using them to solve problems, some of which are quite advanced. Some GF's are given scattered throughout the book. There are several appendices for advanced topics.
Book Description
The new edition of a standard reference will be of interest to advanced students wishing to become familiar with the method of Green's functions for obtaining simple and general solutions to basic problems in quantum physics. The main part is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a -function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic problems such as scattering and boundlevel information. The bound-level treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorder-induced localization. The more advanced subject of many-body Green's functions is presented in the last part of the book. This third edition is 50% longer than the previou and offers end-of-chapter problems and solutions (40% are solved) and additional appendices to helpit is to serve as an effective self-tutorial and self-sufficient reference. Throughout, it demonstrates the powerful and unifying formalism of Green's functions across many applications, including transport properties, carbon nanotubes, and photonics and photonic crystals.
Book Description
Green's functions are an important tool used in solving boundary value problems associated with ordinary and partial differential equations.
This self-contained and systematic introduction to Green's functions has been written with applications in mind. The material is presented in an unsophisticated and rather more practical manner than usual. Consequently advanced undergraduates and beginning postgraduate students in mathematics and the applied sciences will find this account particularly attractive. Many exercises and examples have been supplied throughout to reinforce comprehension and to increase familiarity with the technique.
Customer Reviews:
Classics!.......2006-12-10
The author gave a classical discussion to the classical topic. I was first impressed by the Chapter 1. The concept of green's function is well explained by the simple example.
Then, dear reader, I ask you read it by yourself. It will be an interesting journey!
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