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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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
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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.
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.
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
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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.
In the second essay J-C Zambrini shows why quantum physics is not a regular probabilistic theory, but also why stochastic analysis provides new tools for analyzing further the meaning of Feynman's path integral approach and a number of foundational issues of quantum physics far beyond what is generally considered. The role of the time parameter, in this theory, is critically re-examined and a fresh way to approach the long-standing problem of the quantum time observable is suggested.
Average customer rating:
- Incredible implications for physics and mathematics
|
The Mysteries of the Real Prime (London Mathematical Society Monographs New Series)
M.J. Shai Haran
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Hardcover
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ASIN: 0198508689 |
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....
Average customer rating:
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Probabilistic Methods in Quantum Field Theory and Quantum Gravity (NATO Science Series: B:)
Manufacturer: Springer
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Binding: Hardcover
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ASIN: 0306436027 |
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.
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Spatio Temporal Chaos and Vacuum Fluctuations of Quantized Fields
Christian Beck
Manufacturer: World Scientific Publishing Company
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ASIN: 9810247982 |
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.
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Stochastic Variational Approach to Quantum-Mechanical Few- Body Problems (Lecture Notes in Physics)
Yasuyuki Suzuki , and
Kalman Varga
Manufacturer: Springer
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Binding: Hardcover
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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.
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- Steal This Book!: Million Dollar Sales Letters You Can Legally Steal to Suck in Cash Like a Vacuum on
- String Theory and M-Theory: A Modern Introduction
- Techniques of Modern Structural Geology, Volume 3: Applications of Continuum Mechanics in Structural Geology (Modern Structural Geology)
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Quantum Theory of Many-Particle Systems
Methods of Quantum Field Theory in Statistical Physics (Selected Russian Publications in the Mathematical Sciences.)
A Guide to Feynman Diagrams in the Many-Body Problem (Dover Books on Physics and Chemistry)
PHASE TRANSITIONS (Frontiers in Physics, 85)
Quantum Phase Transitions
