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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 MECHANICS (VOL. II)
Manufacturer: North-Holland Publishing Company Amsterdam
ProductGroup: Book
Binding: Hardcover
ASIN: B000GP48EI |
Book Description
This is the second volume of the third edition of a successful text, now substantially enlarged and updated to reflect developments over the last decade in the curricula of university courses and in particle physics research. Volume I covered relativistic quantum mechanics, electromagnetism as a gauge theory, and introductory quantum field theory, and ended with the formulation and application of quantum electrodynamics (QED), including renormalization. Building on these foundations, this second volume provides a complete, accessible, and self-contained introduction to the remaining two gauge theories of the standard model of particle physics: quantum chromodynamics (QCD) and the electroweak theory. The treatment significantly extends that of the second edition in several important respects. Simple ideas of group theory are now incorporated into the discussion of non-Abelian symmetries. Two new chapters have been added on QCD, one devoted to the renormalization group and scaling violations in deep inelastic scattering and the other to non-perturbative aspects of QCD using the lattice (path-integral) formulation of quantum field theory; the latter is also used to illuminate various aspects of renormalization theory, via analogies with condensed matter systems. Three chapters treat the fundamental topic of spontaneous symmetry breaking: the (Bogoliubov) superfluid and the (BCS) superconductor are studied in some detail; one chapter is devoted to the implications of global chiral symmetry breaking in QCD; and one to the breaking of local SU(2)xU(1) symmetry in the electroweak theory. Weak interaction phenomenology is extended to include discussion of discrete symmetries and of the possibility that neutrinosare Majorana (rather than Dirac) particles. Most of these topics are normally found only in more advanced texts, and this is the first book to treat them in a manner accessible to the wide readership that the previous editions have attracted.
Customer Reviews:
Very clear and readable.......2007-03-21
Like the 2nd edition this 2 volume set is very readable. I like it's informal style, and the wealth of background material presented, as well as the hints about when to expect further discussions of a subject in succeding chapters. By far the best Quantum Field Theory book I've come across.
more understandable QFT for beginners.......2005-09-17
The 3rd edition of that book clarified to a degree the fog left in my mind by a two-semester QFT course. The book is better suited for beginners than Peskin & Shroeder, Mandl & Show or Lahiri & Pal simply because it senses better the difficult points for beginners and tries to explain them at lower level. It focuses on the main concepts and doesn't try to `cover broad material in shortest time' or get into extreme computational technicalities totally irrelevant to beginners. The correct historical perspective of many ideas is given and the important historical papers are cited. The theory is frequently compared to the experimental results. Violin string is used as a prototype of a continuous system described by a classical field which is the first field quantized later. The book develops physical intuition showing how a scattering process can be analyzed in full QED (all fields are operators), in semiclassical approximation (all fields are operators except the EM field) or using the lowest level wavefunction approximation (all fields are treated like wave functions just like scattering in nonrelativistic QM) often getting the same result (see chapter 8). Important concepts like Feynman diagrams and Renormalization of a theory are first explored in a simple theoretical playground - a hypothetical `ABC theory' of three massive scalar fields with an interaction ABC term - and later discussed again in the case of QED with all the complications like fermions and Electromagnetic gauge field.
Topics discussed include gauge invariance principle; relativistic field equations describing free particles like Klein-Gordon and Dirac; Feynman interpretation of the negative energy solutions of Dirac eq. (no its not `antiparticle going back in time'); Dirac equation with EM field; Lagrangian and Hamiltonian densities for continuous systems; quantization of free fields like KG (real and complex scalar), Dirac and Electromagnetic field [the quantization is by postulating commutators/anticommutators, no path integrals]; Normal ordering of operators; Interaction picture for interacting fields, Time ordering of operators, Dyson expansion of the S matrix; Wick's theorem; scattering processes in QED at tree level; Ward identity; form factors for scattering from non point particle; parton model, Bjorken scaling; diagrams with loops, regularization and renormalization of ultraviolet divergences in QED.
It took me a month and a half to read the book and solve all problems (10 problems per chapter on average). The problems are exactly the ones every beginner should solve and usually revolve about filling in details from the text or proving statements in the text. Solving them is usually easy with a few exceptions and teaches you the typical computational tricks of the trade. You have to know quantum mechanics (at least have seen scattering theory) and special relativity. You have to at least have heard of Green function and contour integration in the complex plane. The book provides nice appendices about all these.
Not everything is crystal clear in that book, sometimes it took me a few days for an idea to sink in or I understood some paragraphs only after I read the whole book. Other ideas I did not understand at all. Sometimes it's hard to tell what they are trying to say although they say it several times from different angles ... The authors should work on expressing an idea in a direct succinct way once and for all instead of repeating several fuzzy versions of it. Overall that book made me understand MUCH more than a regular QFT course and I highly recommend it as a prep for such a course.
If you are having trouble with QFT - BUY THIS BOOK!.......2003-04-13
This book (2nd edition) has 15 chapters . I have just finished chapter 4 entitled QFT and I am compeled to write this review! After a year of studying of QFT informally I can report that this is the way to introduce yourself to the topic. I've been through Mandl & Shaw, Peskin & Schoeder, Ryder, Weinberg and a few others and this is heads and tails the BEST intro available. In 42 pages, Aitchison & Hey make the transistion from classical to QM and from QM to QFT as gracefully as I can conceive. For example, the transition from the discrete Lagrangian to the field Lagrangian is very explicit. One benfit of this is that the dependence of L on partial of phi wrt x is clearly motivated leading to the manifestly relativistically invariant form of L. They explicitly develop physical intuition at every step of the way - for example, this is the only book that I have found that explicitly asks the question where is QM's wavefunction in the QFT formalism? Answer - The vacuum to one-particle matrix elements of the field operators. The transistion from free fields to interacting fields is far clearer than any other treatment I've seen. I also appreciated that the problems were used to basically fill in details left out of the text. I was able to 'practice' the various kinds of manipulations that are required.
Amazingly clear introduction to the subject.......1998-08-03
This book is the best book I've seen on the subject. The qualitative description of qunatum field theory in particular are amazingly lucid for the subject. The only possible flaw in the book is that the problems at the end of each chapter are both few in number and for the most part do not challenge the student at all; for the most part they are just rote calculations.
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Advances in Mechanics and Mathematics: Volume II (Advances in Mechanics and Mathematics)
Manufacturer: Springer
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Binding: Hardcover
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ASIN: 1402076452 |
Book Description
Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the beneficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a duality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge this gap. Audience: This book is suitable for scientists, engineers and mathematicians, including advanced students (doctoral and post-doctoral level) at universities and in industry interested in modern mechanics and applied mathematics.
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Advances in the Interplay Between Quantum and Gravity Physics (NATO Science Series II: Mathematics, Physics and Chemistry)
Manufacturer: Springer
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ASIN: 140200592X |
Book Description
This up-to-date survey of the interplay between gravity and particle physics theory contains treatments of cosmological perturbations, trans-Planckian problems in cosmology, the cosmological basis in a framework of projective unified field theory, atom interferometry in black holes and the early universe and semiclassical gravity. There are also discussions of spinorial matter in affine theory of gravity, the phase problem and Mach's principle, a Hamiltonian formulation of gravitational theory, and spin fluctuations. A special section covers Dirac geometry and real space-time, Dirac wave functions and black holes, properties of black hole solutions, black hole spectroscopy and thermodynamics. The emphasis is on observational aspects and in this context there are discussions of attempts to measure Newtonian G, the stability of G and multidimensional gravitational models, improved measurements and the experimental limit of G-dot, past results and new experimental tests for violation of the principle of equivalence, signals observed with a detector having 20
21 intrinsic spins, virtual graviton exchange consistent with constant G and the weak equivalence principle. There is an update on neutrino oscillations and the helicity precession of fermions in gravitational / inertial fields.
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Advances in Topological Quantum Field Theory: Proceedings of the NATO Adavanced Research Workshop on New Techniques in Topological Quantum Field Theory, ... II: Mathematics, Physics and Chemistry)
Manufacturer: Springer
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Binding: Hardcover
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ASIN: 1402027702 |
Book Description
This volume is the conference proceedings of the NATO ARW during August 2001 at Kananaskis Village, Canada on "New Techniques in Topological Quantum Field Theory". This conference brought together specialists from a number of different fields all related to Topological Quantum Field Theory. The theme of this conference was to attempt to find new methods in quantum topology from the interaction with specialists in these other fields.
The featured articles include papers by V. Vassiliev on combinatorial formulas for cohomology of spaces of Knots, the computation of Ohtsuki series by N. Jacoby and R. Lawrence, and a paper by M. Asaeda and J. Przytycki on the torsion conjecture for Khovanov homology by Shumakovitch. Moreover, there are articles on more classical topics related to manifolds and braid groups by such well known authors as D. Rolfsen, H. Zieschang and F. Cohen.
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Asymptotic Combinatorics with Applications to Mathematical Physics (NATO Science Series II: Mathematics, Physics and Chemistry)
Manufacturer: Springer
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ASIN: 1402007922 |
Book Description
New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory.
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Braid Group, Knot Theory and Statistical Mechanics II (Advanced Series in Mathematical Physics, Vol 17)
Manufacturer: World Scientific Publishing Company
ProductGroup: Book
Binding: Hardcover
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ASIN: 981021524X |
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The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics. This book is based on the 1989 volume but has new material included and new contributors.
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Chaotic Dynamics and Transport in Classical and Quantum Systems: Proceedings of the NATO Advanced Study Institute on International Summer School on Chaotic ... II: Mathematics, Physics and Chemistry)
Manufacturer: Springer
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ASIN: 1402029462 |
Book Description
This book offers a modern updated review on the most important activities in today dynamical systems and statistical mechanics by some of the best experts in the domain. It gives a contemporary and pedagogical view on theories of classical and quantum chaos and complexity in hamiltonian and ergodic systems and their applications to anomalous transport in fluids, plasmas, oceans and atom-optic devices and to control of chaotic transport. The book is issued from lecture notes of the International Summer School on "Chaotic Dynamics and Transport in Classical and Quantum Systems" held in Cargèse (Corsica) 18th to the 30th August 2003. It reflects the spirit of the School to provide lectures at the post-doctoral level on basic concepts and tools. The first part concerns ergodicity and mixing, complexity and entropy functions, SRB measures, fractal dimensions and bifurcations in hamiltonian systems. Then, models of dynamical evolutions of transport processes in classical and quantum systems have been largely explained. The second part concerns transport in fluids, plasmas and reacting media. On the other hand, new experiments of cold optically trapped atoms and electrodynamics cavity have been thoroughly presented. Finally, several papers bear on synchronism and control of chaos.
The target audience of the proceedings are physicists, mathematicians and all scientists involved in Chaos and Dynamical Systems Theory and their fundamental applications in Physics and in the Science of Complex and Nonlinear phenomena.
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Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations (NATO Science Series II: Mathematics, Physics and Chemistry)
Manufacturer: Springer
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ASIN: 1402006349 |
Book Description
Many mesoscopic systems display `adaptive' behaviour - changes in some physical property that results from a small change in an internal or external driving force. There is a kind of progression in adaptive phenomena, from quantum mesoscopics to complex, evolved cooperative systems and large scale events like turbulence. The field of mesoscopic magnetism, especially quantum coherence and quantum tunnelling in spin systems, and the coupling between mesoscopic magnetism and mesoscopic transport is currently a very active area of solid state physics. `Dephasing' is an important concept in mesoscopic systems like these. A basic question is the limit at which quantum mechanics breaks down and what it can be replaced with. Another interesting crossover is that between complexity and large excursions or events, with turbulence as a prototype example. The book also contains a discussion of finance. Qualitatively speaking, turbulence and financial markets are apparently similar, so our understanding of turbulence may be relevant to understanding price fluctuations.
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- Quantum Computation and Quantum Information
- Reliability and Risk Analysis
- Science and the Akashic Field: An Integral Theory of Everything
- Superconductivity: Part 2 (In Two Parts) (Superconductivity)
- The Charm of Strange Quarks : Mysteries and Revolutions of Particle Physics
- The Einstein Factor: A Proven New Method for Increasing Your Intelligence
- The Finite Element Method and Applications in Engineering Using ANSYS®
- The Great War for Civilisation: The Conquest of the Middle East
- The Human-Computer Interaction Handbook: Fundamentals, Evolving Technologies, and Emerging Applications (Human Factors and Ergonomics)
- The Location of Culture (Routledge Classics)
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