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Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems (Lecture Notes in Physics Monographs)
Rudolf Haussmann
Manufacturer: Springer
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ASIN: 3540658122 |
Book Description
This research monograph offers an introduction to advanced quantum field theoretical techniques for many-particle systems beyond perturbation theory. Several schemes for resummation of the Feynman diagrams are described. The resulting approximations are especially well suited for strongly correlated fermion and boson systems.
Also considered is the crossover from BCS superconductivity to Bose--Einstein condensation in fermion systems with strong attractive interaction. In particular, a field theoretic formulation of "bosonization" is presented; it is published here for the first time. This method is applied to the fractional quantum Hall effect, to the Coulomb plasma, and to several exactly solvable models.
Book Description
The interest in membranes and higher dimensional extended geometrical objects was inspired by the great successes of the string and superstring, first in 1968-73 as a theory of hadrons and then since 1984 as a "theory of everything" - a unified theory of all interactions, including quantum gravity. In particular, membranes, "supermembranes" and "spinning membranes" have been studied since 1985; an unexpected connection with supergravity opened in 1988 some new prospects for a quantized theory. General theorems about higher dimensional "p-branes" or "extendons" were also derived. The subject is very promising, whether as a more comprehensive fundamental unification or as a description of composite hadrons.
Where there are now probably some fifty texts of all kinds dealing with strings, this is the first treatise on membranes and higher dimensional extendons.
Book Description
These lecture notes comprise a three-semester graduate course in quantum mechanics at the University of Illinois. The notes, presented here in slightly revised form, constitute a self-contained course in quantum mechanics from first principles to elementary and relativistic one-particle mechanics. Prerequisite to reading these notes is some familiarity with elementary quantum mechanics, at least at the undergraduate level. Preferably the reader should already have met the uncertainty principle and the concept of a wave function. Prerequisites also include sufficient acquaintance with complex cariables to be able to do simple contour integrals and to understand words such as "poles" and "branch cuts." An elementary knowledge of Fourier transforms and series is necessary. Assumes an awareness of classical electrodynamics.
Customer Reviews:
One of the best books ever written on quantum mechanics........2007-08-20
There are many good books on quantum mechanics--the ones by J.J. Sakurai and Claude Cohen-Tannoudji et al. come to mind. Schwinger's lectures were off-scale superb, and the notes of his students were collected and published.
But this book _Lectures on Quantum Mechanics_ is simply charming. It may be the first graduate-level textbook on this subject that was written by a native speaker of English since Dirac's classic. In any case, it is another classic. It is very physical and very specific, which means it's easy to learn from.
Like nothing else.......2006-05-18
This is the book that Sakurai's Modern Quantum is based on, but it contains material that I haven't seen anywhere else, such as a "derivation" of Schrodinger's equation from ideas about probability flow, etc. and a cool explanation of the whole quantum mechanics formalism based on photon polarization.
The later chapters contain lots of really useful insights - I especially liked the chapter on second quantization. Buy this book especially if you are looking for an alternative way to approach concepts in quantum mechanics. I highly recommend it as a supplement regardless of what stage you have reached in your education.
original and complete.......2004-12-04
I had baym when i was an undergrad ambitiously taking a grad class, so I can understand how to the novice this book can be intimidating: it is on the level of sakurai.
That being said, it is uncommonly complete and it has original presentations of material which is otherwise identical from text to text. For example the schrodinger equation in one place is derived as a hopping-problem in the continuum limit and he has a chapter on cooper-pairs which to my knowledge appears in no other intro QM book.
QM should probably be learned from a variety of sources because, just as there is wave mechanics and lots of special functions there is also powerful symmetry methods and algebraic techniques.
were I to recommend a set to study from I'd probably pick baym, shankar or sakurai, and landau.
For those who love clarity.......2002-02-23
Having glanced through/read many QM books over the last couple of years, I recently purchased a copy of Baym, and I've almost read it cover to cover. It flows very well for a textbook, and it doesn't stray off onto complicated tangents like many books I've seen and used do. Perhaps it is because this book is derived from lectures. I think this is a good companion to other QM textbooks for those not-so-clearly-explained passages.
A simple reference for a complex subject.......2000-06-09
This book exposes the essential Quantum Mechanical topics in a non-traditional order, and explores more advaced subjects as well, without losing clarity. The notation is easier to follow than most graduate level text books. Particularly good chapters are those concerning to Quantization of Radiation and Second Quantization.
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Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups (Lecture Notes in Physics , No 39)
Ludwig Pittner
Manufacturer: Springer
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ASIN: 3540605878 |
Book Description
Quantum groups and quantum algebras as well as non-commutative differential geometry are important in mathematics and considered to be useful tools for model building in statistical and quantum physics. This book, addressing scientists and postgraduates, contains a detailed and rather complete presentation of the algebraic framework. Introductory chapters deal with background material such as Lie and Hopf superalgebras, Lie super-bialgebras, or formal power series. Great care was taken to present a reliable collection of formulae and to unify the notation, making this volume a useful work of reference for mathematicians and mathematical physicists.
Product Description
This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related fields. It is based on a graduate course given in 2006-07 at the Courant Institute of Mathematical Sciences. Among other topics, the book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods. The focus is on fundamental mathematical methods that provide connections between seemingly unrelated subjects. An example is Hamilton-Jacobi theory, which appears in the calculus of variations, in Fermat's principle of classical mechanics, and in the geometric theory of dispersive wavetrains. The material is developed in a sequence of simple examples and the book can be used in a one-semester class on classical, statistical, and quantum mechanics. Some familiarity with differential equations is required but otherwise the book is self-contained. In particular, no previous knowledge of physics is assumed. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.
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Fundamentals of Quantum Information: Quantum Computation, Communication, Decoherence and All That (Lecture Notes in Physics)
Manufacturer: Springer
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ASIN: 3540433678 |
Book Description
Quantum information science is a rapidly developing field that not only promises a revolution in computer sciences but also touches deeply the very foundations of quantum physics. This book consists of a set of lectures by leading experts in the field that bridges the gap between standard textbook material and the research literature, thus providing the ne- cessary background for postgraduate students and non-specialist researchers wishing to familiarize themselves with the subject thoroughly and at a high level. This volume is ideally suited as a course book for postgraduate students, and lecturers will find in it a large choice of material for bringing their courses up to date.
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Quantum Annealing and Related Optimization Methods (Lecture Notes in Physics)
Manufacturer: Springer
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ASIN: 3540279873 |
Book Description
Quantum annealing employs quantum fluctuations in frustrated systems or networks to anneal the system down to its ground state, or more generally to its so-called minimum cost state. Often this procedure turns out to be more effective, in multivariable optimization problems, than its classical counterpart utilizing tunable thermal fluctuations. This volume is divided into three parts. Part I is an extensive tutorial introduction familiarizing the reader with the background material necessary to follow the core of the book. Part II gives a comprehensive account of the fundamentals and applications of the quantum annealing method, and Part III compares quantum annealing with other related optimization methods. This is the first book entirely devoted to quantum annealing and will be both an invaluable primer and guidebook for all advanced students and researchers in this important field.
Book Description
This book provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. the aim is to make clear what the physical foundations of present-day field theory are, to clarify the physical content of Feynman rules, and to outline their domain of applicability. The book begins with a brief review of some aspects of Einstein's theory of relativity that are of particular importance for field theory, before going on to consider the relativistic quantum mechanics of free particles, interacting fields, and particles with spin.
Customer Reviews:
A QFT book for physicists not for mathematicians.......2005-04-13
This is a QFT book written by a physicist (Veltman is one of the
1999 Physics Nobel prize winners) for physicists. Mathematical
rigour was definitely not one of Veltman's major concerns when he
wrote this book. However clarity was indeed a big issue for him
and that is most unusual if you take into account that most Nobel
prize awarded physicist, are usually much more concerned about
"image", "posterity" and "mathematical rigour" than by
pedagogical matters.
This book is a very good one to start with if you want to learn
QFT. It makes no use of the path integral formalism (which is the
prefered one by "modern" QFT theorists) . The canonical
formalism (the one used in this book) makes explicit the local
nature of QFT; this is an important issue since locallity stems
from Lorentz invariance and QFT is nothing but the physical
theory resulting from quantum mechanics and restricted
relativity. I fully agree with the statement that the path
integral method should be sistematically discarded in
introductory QFT books like this one.
As its title indicates, Feynman diagrams are the central issue of
this book. Veltman explains in the introduction: "This is then
the aim: to make it clear which principles are behind the
(Feynman) rules and to define clarly the calculation details".
This seems to be the natural choice for such an introductory
text; quoting Veltman again: " ... the theory (meaning QFT), or
rather the succesful part (of it), is perturbation theory ...
Perturbation theory means Feynman diagrams ".
This book provides a clear logical frame that supports the
calculation machinery of perturbative QFT's and should be
recommended to any person willing to introduce himself/herself in
Quantum Field Theory as a first choice course book.
Taking into account that this is an introductory book, its
short extension (200 pages) its scope is limited to QED and no
serious attempt is made to treat non-abelian theories.
One minor (for me it is minor, since my english is also rather
poor) annoyance: Even I (my mother tonge is spanish) can see
that the writing style is not very good and that some of the used
expressions are nothing more that literal translations from dutch
into english.
cernoramam.......2001-08-17
it's a CERN yellow report from the 1970s sometime. this is the revision and printed version of it. he knows what he is doing, or at least the nobel commitee thought so when he got the prize with t'hooft. anyway it's called diagrammar and you can download it from the CERN site.
Why using imaginary time?.......2001-02-05
I just browsed through this book in a bookshop, so I can't judge its quality (I copied the 5 stars from the current average), but I didn't buy it because I noticed it apparently uses the imaginary time convention! I thought this convention was completely obsolete and thus I am not inclined to buy such a book. Well, Veltman shows how to convert all formulas to conventional metrics in an appendix, but for me this shows how weird the book really is: after all, conventional metrics courses do not show you how to convert their formulas to imaginary time metrics.
Thinking with Feynman diagrams.......1998-07-21
This is a book on quantum field theory using, much more than what is usual, the language of Feynman diagrams, which are pictorial-analytic expressions for terms of the perturbative series for S-matrix elements. Several years ago what could be considered a cruder version of this book circulated widely as a Yellow Report from CERN. It was an admirable text, from which most of us learned how to write the Feynman rules for gauge theories in exotic gauges, and how to renormalize everything by using the dimensional methods. Now comes the book version, polished so that beginners can use it, and with a little more tissue connecting the bones. The Yellow Report was called Diagrammar and became something of a religion. Perusing the book I see no reason why it should not have a comparable success. I particularly admire the graphic derivation of the Ward identities and the (also graphical) treatment of unitarity, very difficult to find antwhere else. The author, Veltman, is a great! authority in Field Theory and a fantastic teacher.
Customer Reviews:
good book.......2005-01-26
compare to 'basic notions of condensed matter physics', this book is much easier to understand. u do not need background in solid state physics even. but a thorough mastery of quantum mechanics is assumed. otherwise, u will be turned to ur quantum book very often.
unlike the other solid state or condensed matter book, this book just treat those advanced level materials, like band theory in the presence of pertubrbing fields, elementary excitations, quasi-particles. all those concepts are intruduced in a comprehensive way that i can understand and the materials are arranged systematically (it is partly b/c prof. Anderson does not aim to cover everything in this thin book, just some concepts, as the title indicated).
another interesting thing about this book is that 2 Nobel prizes are related to it. prof. Anderson himself got oone. Sir Josephson, after attending Anderson's lecture in Cambridge with this note (the book is actually lecture note), got a Nobel prize as well.
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