Quantum Many Particle Systems (Advanced Book Classics)

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.

Problems and Solutions in Quantum Chemistry and Physics

Average customer rating:

Mohsin Netherlands.
Varied Problems Yield Good Refresher

Problems and Solutions in Quantum Chemistry and Physics
Charles S. Johnson , and Lee G. Pedersen
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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ASIN: 048665236X

Book Description

280 problems, with detailed solutions, plus 139 exercises, all covering quantum mechanics, wave mechanics, angular momentum, molecular spectroscopy, scattering theory and related subjects. "An excellent problem book ... I would highly recommend it as a required supplement to students taking their first quantum chemistry course." — Journal of the American Chemical Society.

Customer Reviews:

Mohsin Netherlands........2007-05-24

This is one of the most complete problem and solution book for the undergraduate quantum physics I have seen. Don't be disappointed by the look of this book, although it is printed somewhat unusual i.e cheap paper small fonts but, its complete.

The problems are much like the problems you can find in quantum chemistry or quantum mechanics books( undergraduate) and the solutions are clear and concise. Of course prior knowledge in quantum mechanics and physical chemistry is required but that you already have if you are looking for a solution book parallel with your text book.
At the beginning of every chapter some explanation and key points are given that help to recall from text book without opening the text book.

I would say, its cheap and its almost complete for undergraduate in physics and more than complete for undergraduate in chemistry.
5 stars because of the price and quality.

Varied Problems Yield Good Refresher.......2000-05-20

This collection of numerous problems in both old atomic theory as well as (slightly) more modern theory is a great review to students who may have taken introductory QM classes and need a refresher, or as a supplement to those students currently learning QM. The topics covered are varied and problems include complete solutions. Overall a good volume to include in any early theorist's collection.

Average customer rating:

Problems in Molecular Orbital Theory
Thomas A. Albright , and Jeremy K. Burdett
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Paperback

Crystallography | Chemistry | Science | Subjects | Books

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ASIN: 0195071751

Book Description

This supplementary problems book, to be used in conjunction with a molecular orbital theory textbook at the senior, first-year graduate level in chemistry courses, is written by leading authorities in molecular orbital theory research and teaching. The text will be useful for courses in advanced inorganic, physical organic, and group theory. Because many different compounds are presented, the instructor can develop a "personalized course" by selecting problems from a variety of research interests. Carefully worked out solutions, including a large number of informal diagrams, are provided for all questions and problems. In addition to its practical use for courses, this textbook will also be of interest to individual chemists who want to upgrade their knowledge of molecular orbital theory.

Solutions Manual for Molecular Quantum Mechanics

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Solutions Manual for Molecular Quantum Mechanics
P. W. Atkins
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Paperback

ASIN: 0198551800

Book Description

Contains the author's detailed solutions of almost every one of the 267 problems contained in the second edition of this textbook.

Modern NMR Spectroscopy: A Workbook of Chemical Problems

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Modern NMR Spectroscopy: A Workbook of Chemical Problems
Jeremy K. M. Sanders , Edwin C. Constable , Brian K. Hunter , and Clive M. Pearce
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Paperback

Analytic | Chemistry | Science | Subjects | Books

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Modern NMR Spectroscopy: A Guide for Chemists

ASIN: 0198558120

Book Description

Nuclear magnetic resonance techniques have advanced dramatically in recent years, and are now more powerful and more versatile than ever before. To exploit these techniques efficiently, the chemist must have both an understanding of their theoretical basis and the ability to interpret the spectra accurately. The new edition of this established workbook develops the latter skill to an advanced level by a combination of worked examples and set problems that cover one- and two-dimensional NMR techniques applied to organic and inorganic systems. Most of the problems are genuine research examples, and this new edition contains eight pages of problems drawn from very recent research work. This second edition is fully compatible with the second edition of Modern NMR Spectroscopy: a guide for chemists, and the two books are thoroughly cross referenced throughout.

Average customer rating:

Insightful

Physical Chemistry: Quantum Mechanics
Horia Metiu
Manufacturer: Taylor & Francis
ProductGroup: Book
Binding: Paperback

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ASIN: 0815340877

Book Description

This is a new undergraduate textbook on physical chemistry by Horia Metiu published as four separate paperback volumes. These four volumes on physical chemistry combine a clear and thorough presentation of the theoretical and mathematical aspects of the subject with examples and applications drawn from current industrial and academic research. By using the computer to solve problems that include actual experimental data, the author is able to cover the subject matter at a practical level. The books closely integrate the theoretical chemistry being taught with industrial and laboratory practice. This approach enables the student to compare theoretical projections with experimental results, thereby providing a realistic grounding for future practicing chemists and engineers. Each volume of Physical Chemistry includes Mathematica® and Mathcad® Workbooks on CD-ROM.

Metiu's four separate volumes-Thermodynamics, Statistical Mechanics, Kinetics, and Quantum Mechanics-offer built-in flexibility by allowing the subject to be covered in any order.

These textbooks can be used to teach physical chemistry without a computer, but the experience is enriched substantially for those students who do learn how to read and write Mathematica® or Mathcad® programs. A TI-89 scientific calculator can be used to solve most of the exercises and problems.

® Mathematica is a registered trademark of Wolfram Research, Inc.
® Mathcad is a registered trademark of Mathsoft Engineering & Education, Inc.

Customer Reviews:

Insightful.......2006-11-28

I was a TA for an undergraduate quantum mechanics class that used this book. It provides a more modern approach to solving problems using Mathematica. Its use of Mathematica to solve problems had major advantages and disadvantages. It allowed for students to solve problems that they otherwise would not have been able to do, and required them to develop some computational skills that will be useful to them in the future (I have had to learn several different programming languages in my graduate work). However, learning both Mathematica and Quantum Mechanics simultaneously proved to be quite a task, and I fear that some of the meaning in both was lost. Metiu provides great examples of how to solve problems for each chapter in the Workbook CD that accompanys the text. I doubt if everybody would have been able to make much progress on HW problems without these examples. In many instances the code Metiu provided was used to solve similar HW problems without much knowledge of how the programs worked, and in others, his examples were followed without knowing what was being solved. This book seems very distinct from others as Metiu describes QM much differently than other introductory works, and provides important details that other books completely omit. I enjoyed his approach which helped me to understand better. This book would be great for an advanced (honors) undergraduate class, one that already has some experience with solving problems with computers, or one that is able to schedule a weekly tutorial time to go over problems using Mathematica, otherwise another text may be best. It is newly released so there are some errors but nothing major.

Concepts of Highly Excited Electronic Systems

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Concepts of Highly Excited Electronic Systems
Jamal Berakdar
Manufacturer: Wiley-VCH
ProductGroup: Book
Binding: Hardcover

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Book Description

Knowledge of the excitation characteristics of matter is decisive for the descriptions of a variety of dynamical processes, which are of significant technological interest. E.g. transport properties and the optical response are controlled by the excitation spectrum.

This self-contained work is a coherent presentation of the quantum theory of correlated few-particle excitations in electronic systems. It begins with a compact resume of the quantum mechanics of single particle excitations. Particular emphasis is put on Green function methods, which offer a natural tool to unravel the relations between the physics of small and large electronic systems. The book contains explicit expressions for the Coulomb Green function of two charge particles and a generalization to three-body systems. Techniques for the many-body Green function of finite systems are introduced and some explicit calculations of the Green functions are given. Concrete examples are provided and the theories are contrasted with experimental data, when available.

Book Description

The COPROMAPH Conference series has now evolved into a significant international arena where fundamental concepts in mathematical and theoretical physics and their physics applications can be conceived, developed and disseminated. Basic ideas for addressing a variety of contemporary problems in mathematical and theoretical physics are presented in a nonintimidating atmosphere. Experts provide the reader the fundamentals to predict new possibilities in physics and other fields.

Contemporary Problems in Statistical Physics

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Contemporary Problems in Statistical Physics
George H. Weiss
Manufacturer: Society for Industrial Mathematics
ProductGroup: Book
Binding: Paperback

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Book Description

This collection of independent articles describes some mathematical problems recently developed in statistical physics and theoretical chemistry. The book introduces and reviews current research on such topics as nonlinear systems and colored noise, stochastic resonance, percolation, the trapping problem in the theory of random walks, and diffusive models for chemical kinetics. Some of these topics have never before been presented in expository book form. Applied mathematicians will be introduced to some contemporary problems in statistical physics. In addition, a number of unsolved problems currently attracting intensive research efforts are described.

Coulomb Interactions in Nuclear and Atomic Few-Body Collisions (Finite Systems and Multiparticle Dynamics)

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Coulomb Interactions in Nuclear and Atomic Few-Body Collisions (Finite Systems and Multiparticle Dynamics)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Book Description

This fully illustrated resource examines three-body systems where the Coulomb interaction plays an important role. Contributions focus on nuclear physics and atomic physics-in the low-energy regime-as well as on collision phenomena. Covering experimental and theoretical work, chapters discuss the direct calculation of collision amplitudes using momentum-space integral equations and the screening method for handling Coulomb effects; the coordinate-space wave function analysis; time-dependent methods; the H ^-( e ^- pe ^- ) system; and atomic and molecular three-particle systems.

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