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.

Fundamental Aspects of Quantum Physics: Proceedings of the Japan-Italy Joint Workshop on Quantum Open Systems, Quantum Chaos and Quantum Measurement : ... Probability and White Noise Analysis, 17)

Average customer rating:

Fundamental Aspects of Quantum Physics: Proceedings of the Japan-Italy Joint Workshop on Quantum Open Systems, Quantum Chaos and Quantum Measurement : ... Probability and White Noise Analysis, 17)
Quantum Chaos and Japan-Italy Joint Workshop on Quantum Open Systems , and Luigi Accardi
Manufacturer: World Scientific Publishing Company
ProductGroup: Book
Binding: Hardcover

General | Science | Subjects | Books

Mathematical Analysis | Mathematics | Science | Subjects | Books

General | Physics | Science | Subjects | Books

Mathematical Physics | Physics | Science | Subjects | Books

Quantum Theory | Physics | Science | Subjects | Books

All Titles | Qualifying Textbooks - Fall 2007 | Stores | Books
ASIN: 981238295X

Book Description

This volume includes new topics such as the stochastic limit approach to nonequilibrium states, a new algebraic approach to relativistic nonequilibrium local states, classical and quantum features of weak chaos, transports in quantum billiards, the Welcher-Weg puzzle with a decaying atom, and the topics related to the quantum Zeno effect.

Handbook of Stochastic Methods: for Physics, Chemistry and the Natural Sciences (Lecture Notes in Mathematics)

Average customer rating:

OK, but van Kampen is better
A fresh perspective on stochastic processes
A very important book in th area

Handbook of Stochastic Methods: for Physics, Chemistry and the Natural Sciences (Lecture Notes in Mathematics)
Crispin W. Gardiner
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

General | Science | Subjects | Books

Mathematical Physics | Physics | Science | Subjects | Books

German | Foreign Language Nonfiction | Nonfiction | Subjects | Books

Nonfiction | German | Foreign Language Books | Specialty Stores | Books

Professional & Technical | German | Foreign Language Books | Specialty Stores | Books

All German Books | German | Foreign Language Books | Specialty Stores | Books
Similar Items:

The Fokker-Planck Equation: Methods of Solutions and Applications (Springer Series in Synergetics)
An Introduction to Stochastic Processes in Physics (Johns Hopkins Paperback)
Stochastic Processes in Physics and Chemistry, Third Edition (North-Holland Personal Library) (North-Holland Personal Library)
Statistical Physics (Course of Theoretical Physics, Volume 5)
Stochastic Differential Equations: An Introduction with Applications (Universitext)

ASIN: 3540156070

Book Description

The Handbook of Stochastic Methods covers systematically and in simple language the foundations of Markov systems, stochastic differential equations, Fokker-Planck equations, approximation methods, chemical master equations, and quatum-mechanical Markov processes. Strong emphasis is placed on systematic approximation methods for solving problems. Stochastic adiabatic elimination is newly formulated. The book contains the "folklore" of stochastic methods in systematic form and is suitable for use as a reference work.

Customer Reviews:

OK, but van Kampen is better.......2007-07-14

"Handbook" is a fitting title. It reads more like a collection of solution techniques than like a book meant to actually teach the subject to someone, which is perfectly acceptable for a reference book but not really suitable for a textbook.

Unfortunately for this book, however, van Kampen's book is better as both a reference and a textbook. While generally written with a somewhat higher degree of sophistication, van Kampen is organized so much more logically and is so much more complete in its development of the subject that it is far easier to read, even as (or maybe especially as?) an introductory book.

Gardiner is a good book, and there are things that it has over van Kampen: a chapter on approximation methods, a chapter on simulation methods, and a little bit more detail on certain topics. However, van Kampen's is a phenomenal book and really should be chosen over this one except by those readers with very specific needs.

A fresh perspective on stochastic processes.......2003-09-11

This is a great book on stochastic processes. The author has a unique perspective on the subject and elegantly moves from one topic to the next. A great help in understanding difficult concepts.

A very important book in th area.......2000-05-12

This is a great book. The different chapters are very clearly written and each of them could be applied as a tool for solving similar problems, one may encounter in his (hers) research. Although the text is not introductory, with some effort, the reader could avoid going through more elementary books on the subject first.

Introduction to Random Time and Quantum Randomness (Monographs of the Portuguese Mathematical Society, V. 1)

Average customer rating:

Introduction to Random Time and Quantum Randomness (Monographs of the Portuguese Mathematical Society, V. 1)
Kai Lai Chung
Manufacturer: World Scientific Publishing Company
ProductGroup: Book
Binding: Hardcover

General | Science | Subjects | Books

General | Mathematics | Science | Subjects | Books

General | Physics | Science | Subjects | Books

Mathematical Physics | Physics | Science | Subjects | Books

Quantum Theory | Physics | Science | Subjects | Books

Time | Physics | Science | Subjects | Books

All Titles | Qualifying Textbooks - Fall 2007 | Stores | Books
ASIN: 9812383883

Book Description

This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K L Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on the theory of the stochastic process is shown.

Book Description

In this important and original monograph, useful for both academic and professional researchers and students of mathematics and physics, the author describes his work on the Riemann zeta function and its adelic interpretation. It provides an original point of view, bringing new, highly useful dictionaries between different fields of mathematics. It develops an arithmetical approach to the continuum of real numbers and unifies many areas of mathematics including: Markov Chains, q-series, Elliptic curves, the Heisenberg group, quantum groups, and special functions (such as the Gamma, Beta, Zeta, theta, Bessel functions, the Askey-Wilson and the classical orthagonal polynomials) The text discusses real numbers from a p-adic point of view, first mooted by Araeklov. It includes original work on coherent theory, with implications for number theory and uses ideas from probability theory including Markov chains and noncommutative geometry which unifies the p-adic theory and the real theory by constructing a theory of quantum orthagonal polynomials.

Customer Reviews:

Incredible implications for physics and mathematics.......2003-04-16

At first it seemed this book was [spendy] but once I bought it I had no regrets. Mastering the material, means that one gets a glimpse at the potential exquisite simplicity of the p-adics. You also get a real sense that the proof of the greatest problem of all - the Riemann Hypothesis - is not far away if Haran's philosophy is pursued just one step further....

Probabilistic Methods in Quantum Field Theory and Quantum Gravity (NATO Science Series: B:)

Average customer rating:

Probabilistic Methods in Quantum Field Theory and Quantum Gravity (NATO Science Series: B:)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

Astronomy | Astronomy | Science | Subjects | Books

General | Science | Subjects | Books

General | Physics | Science | Subjects | Books

Mathematical Physics | Physics | Science | Subjects | Books

Waves & Wave Mechanics | Physics | Science | Subjects | Books

Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods With Applications to Quantum Optics (Springer Series in Synergetics)

Average customer rating:

Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods With Applications to Quantum Optics (Springer Series in Synergetics)
C. W. Gardiner , and P. Zoller
Manufacturer: Springer-Verlag Telos
ProductGroup: Book
Binding: Hardcover

General | Science | Subjects | Books

General | Physics | Science | Subjects | Books

Quantum Theory | Physics | Science | Subjects | Books

Optics | Physics | Science | Subjects | Books

Handbook of Stochastic Methods: for Physics, Chemistry and the Natural Sciences (Springer Series in Synergetics)
Quantum Optics
Quantum Optics
Quantum Optics: An Introduction (Oxford Master Series in Physics, 6)
Quantum Theory of Many-Particle Systems

ASIN: 3540665714

Book Description

This book offers a systematic and comprehensive exposition of the quantum stochastic methods that have been developed in the field of quantum optics. It includes new treatments of photodetection, quantum amplifier theory, non-Markovian quantum stochastic processes, quantum input--output theory, and positive P-representations. It is the first book in which quantum noise is described by a mathematically complete theory in a form that is also suited to practical applications. Special attention is paid to non-classical effects, such as squeezing and antibunching. This second edition has been enlarged so as to take account of rapid progress in the field, and now includes two additional chapters on the stochastic Schrödinger equation, and on cascaded quantum systems.

Spatio Temporal Chaos and Vacuum Fluctuations of Quantized Fields

Average customer rating:

Spatio Temporal Chaos and Vacuum Fluctuations of Quantized Fields
Christian Beck
Manufacturer: World Scientific Publishing Company
ProductGroup: Book
Binding: Hardcover

Chaos & Systems | Physics | Science | Subjects | Books

General | Physics | Science | Subjects | Books

Quantum Theory | Physics | Science | Subjects | Books

General | Science | Subjects | Books

General | Medicine | Subjects | Books

All Titles | Qualifying Textbooks - Fall 2007 | Stores | Books
ASIN: 9810247982

Average customer rating:

Stochastic Methods in Quantum Mechanics
Stanley P. Gudder
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

General | Science | Subjects | Books

General | Physics | Science | Subjects | Books

Quantum Theory | Physics | Science | Subjects | Books

Techniques and Applications of Path Integration (Dover Books on Physics)
Quantum Mechanics in Simple Matrix Form
Quantum Mechanics of Particles and Wave Fields
Lie Groups, Lie Algebras, and Some of Their Applications
Nonlinear Filtering and Smoothing: An Introduction to Martingales, Stochastic Integrals and Estimation

ASIN: 0486445321

Book Description

This introductory treatment surveys useful stochastic methods and techniques in quantum physics, functional analysis, probability theory, communications, and electrical engineering. Starting with a history of quantum mechanics, it examines both the quantum logic approach and the operational approach, with explorations of random fields and quantum field theory. 1979 edition.

Stochastic Variational Approach to Quantum-Mechanical Few- Body Problems (Lecture Notes in Physics)

Average customer rating:

Stochastic Variational Approach to Quantum-Mechanical Few- Body Problems (Lecture Notes in Physics)
Yasuyuki Suzuki , and Kalman Varga
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

General | Science | Subjects | Books

General | Mathematics | Science | Subjects | Books

General | Physics | Science | Subjects | Books

Quantum Theory | Physics | Science | Subjects | Books

Waves & Wave Mechanics | Physics | Science | Subjects | Books

All Amazon Upgrade | Amazon Upgrade | Stores | Books

Professional & Technical | Amazon Upgrade | Stores | Books

Science | Amazon Upgrade | Stores | Books

All Titles | Qualifying Textbooks - Fall 2007 | Stores | Books

Professional | Qualifying Textbooks - Fall 2007 | Stores | Books

Science | Qualifying Textbooks - Fall 2007 | Stores | Books
ASIN: 3540651527

Book Description

The quantum-mechanical few-body problem is of fundamental importance for all branches of microphysics and it has substantially broadened with the advent of modern computers. This book gives a simple, unified recipe to obtain precise solutions to virtually any few-body bound-state problem and presents its application to various problems in atomic, molecular, nuclear, subnuclear and solid state physics. The main ingredients of the methodology are a wave-function expansion in terms of correlated Gaussians and an optimization of the variational trial function by stochastic sampling. The book is written for physicists and, especially, for graduate students interested in quantum few-body physics.

Books:

Books Index

Books Home

Recommended Books