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- A very useful book on Keldysh techniques
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Quantum Kinetics in Transport and Optics of Semiconductors (Springer Series in Solid-State Sciences)
Hartmut Haug , and
Antti-Pekka Jauho
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Green's Functions in Quantum Physics (Springer Series in Solid-State Sciences)
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Condensed Matter Field Theory
ASIN: 3540616020 |
Book Description
Quantum Kinetics in Transport and Optics of Semiconductors deals with the quantum kinetics for transport in low-dimensional microstructures and for ultrashort laser-pulse spectroscopy. The nonequilibrium Green function theory is described and used for the derivation of the quantum kinetic equations. Numerical methods for the solution of the retarded quantum kinetic equations are discussed and results are presented for quantum high-field transport and for mesoscopic transport phenomena. Quantum beats, polarization decay and non-Markovian behaviour are treated for femtosecond spectroscopy on a microscopic basis.
Customer Reviews:
A very useful book on Keldysh techniques.......1999-05-28
I recommend this book to anyone who wants an introduction to nonequilibrium Green function techniques. It is much more readible and up-to-date than Kadanoff and Baym's "Quantum Statistical Mechanics".
Book Description
Including some of the most advanced concepts of non-equilibrium quantum statistical mechanics, this book presents the conceptual framework underlying the atomistic theory of matter. No prior acquaintance with quantum mechanics is assumed. Many numerical examples provide concrete illustrations, and the corresponding MATLAB codes can be downloaded from the web. Videostreamed lectures linked to specific sections of the book are also available through web access.
Customer Reviews:
Excellent .......2007-09-24
All i can say is that either the Amazon service, the delivery time and the item were really excellent, i even got the item few days before the estimated delivery date.
Thank you
Timely topic, great pedagogy.......2007-06-13
The author (SD) claims that this is a physics book written for engineers. Maybe that explains why, unlike the authors of most physics books written for physicists, he doesn't seem particularly concerned with elegance, concision, abstract generality or showing how clever he is in this book. Apparently, his main concern is to help you understand stuff. And interesting stuff it is, too.
The narrative arc of the book is to show you how to get from a particle in a box to Ohm's Law, as instantiated in nanoscale transistors. The path to doing this is already laid out in the first chapter, using a "toy" level of analysis. The next nine chapters lay out building blocks for attacking the problem using Green's function (GF) techniques, which are a bit more modern and versatile than the transmission formalism favored in the past (including by SD in a previous book). The whole picture is put together in Chapters 11 and 12, followed by an appendix that shows (albeit quite tersely in comparison to the rest of the book) how the same problem is dealt with using a second-quantization (2Q) GF formalism. The fact many pieces of this arc are repeated at successively deeper levels of analysis is very helpful. So too are SD's "big picture" introductions at the beginning of each chapter, and at the beginnings of the longer subchapters.
Throughout, SD pauses to describe in words and pictures the physics behind pretty much each term of each equation -- a de-mystification that most authors of physics texts seem to avoid as if it were blasphemy. I was especially impressed when SD used these opportunities to allude to some deeper and more general issues, such as how you get from time-reversible equations to irreversible physics. In fact the whole book serves as an applied introduction to non-equilibrium stat mech, a cutting-edge subject usually reserved for abstract theoretical treatment, or the last few pages of a conventional textbook. SD also foregrounds some basic points that are often buried in or missing from other texts, such as that the Schroedinger equations do not explain why atoms emit light, and why "optical" phonons are called that. (This latter point had really bugged me when I took a course in solid state years ago, so while reading this book I re-checked 7 or 8 solid state texts within reach, including Ziman, and found that only Kittel and Ashcroft & Mermin bothered to explain this point, and so casually (K) or vaguely (A&M) that you'd hardly notice.)
I was especially struck by the book's attention to modeling transistor contacts and how they interact with the channel. In the last few years this has become a big issue in organic electronics, as researchers have found that many aspects of device behavior were far more dependent on the contacts than they'd previously appreciated (kind of a let-down after going to the trouble of synthesizing some exotic channel material). That said, though, note that the book's POV is restricted to inorganic crystalline semiconductors, and I don't claim to be smart enough to see how easy it is to extend the book's methods to organic devices.
A couple of caveats. Although my copy says it was "reprinted with corrections 2006", there are still a lot of typos (none too terrible, though). More significant is that many of the exercises rely on your having access to MATLAB or some other math program. If you're not attached to an academic institution or didn't aquire a copy of such a program while you were so attached, those exercises probably will be inaccessible to you (unless you're willing to spring for ~ $10E2.6-$10E3.3 for a personal copy, depending on the program). Contrary to another review, there isn't anything about fabrication techniques, despite brief references to quantum dots and nanowires. And while the blurb on the back cover says "No prior acquaintance with quantum mechanics is assumed," and although SD does start from a description of the Schroedinger equation in Chapter 2, the QM intensity accelerates rapidly from there. So I wouldn't rely on learning the relevant QM from this book. (However, it might be possible to enjoy this book before you've finished a class in solid state.) For a next edition, I would look forward to (i) a somewhat less rushed description of transmission formalism in sec. 9.4 (one of the few places in the book where EEs may have a real advantage over others), (ii) a wordier discussion of the 2Q formalism in the appendix, and (iii) a more explicit discussion of Fock space methods, which seem to play an uncredited role in the discussion of multi-electron systems in Chap.3. But even as-is, this is a very stimulating and enjoyable book.
Excellent Condition.......2006-08-26
The book is in great condition and was ok for the price. Ad i couldnt find it in any of my university book stores
useful theoretical tools for designing devices.......2006-03-06
For over thirty years, Green's functions have been used to calculate effects in solid state physics. But usually for pure research, destined to be written up in scientific journals. Here, Datta offers some outreach. There is indeed quite a lot of theory presented. But there is a corresponding emphasis on the latest materials fabrication abilities, including the making of nanotubes and quantum dots.
All these have (presumably) interesting and practical applications. So if you want to design novel devices from a theoretical standpoint, the maths tools developed in the text can be very useful.
Customer Reviews:
Quantum Transport Theory is a comprehensive account of recen.......1999-06-15
Quantum Transport Theory is a comprehensive account of recent achievements in the understanding of disordered conductors. In addition to detailing the density matrix description of nonequilibrium statistical mechanics, Professor Rammer deals with topics that are new to the field of condensed matter physics, such as: weak localization, destruction of electronic phase coherence in disordered conductors, electron-electron and electron-phonon interactions in dirty metals, scaling theory of localization, the self-consistent theory of localization, and mesoscopic physics. The diagrammatic technique for systems out of equilibrium is developed systematically, and used to study quantum kinetic equations and linear response theory.
Table of Contents Frontiers in Physics Editor's Foreword Preface 1 Quantum Mechanics 1 2 Diagrammatic Perturbation Theory 87 3 Particle in a Random Potential 129 4 Kinetics in a Random Potential 159 5 Fermi Gas in a Random Potential 193 6 Particle in Oscillator Environment 227 7 Linear Response Theory 269 8 Linear Response of Disordered Conductors 311 9 Localization 349 10 Interactions in Metals 377 11 Weak Localization 421 A Path Integrals and Propagators 479 B Dirac's Delta Function 487 C Antilinear Operators 491 D Calculation of [Phi] 495 E Static Correlation Function 499
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Transport in Multilayered Nanostructures: The Dynamical Mean-field Theory Approach
James K. Freericks
Manufacturer: Imperial College Press
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Quantum Field Theory
ASIN: 1860947050 |
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Electronic Quantum Transport in Mesoscopic Semiconductor Structures (Springer Tracts in Modern Physics)
Thomas Ihn
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Electronic Transport in Mesoscopic Systems (Cambridge Studies in Semiconductor Physics and Microelectronic Engineering)
ASIN: 0387400966 |
Book Description
This book treats three topics of electronic quantum transport in mesoscopic semiconductor structures: the conductance in strongly interacting and disordered two-dimensional systems and the metal insulator transition, electron transport through quantum dots and quantum rings in the Coulomb-blockade regime, and scanning probe experiments on semiconductor nanostructures at cryogenic temperatures. In addition it gives a brief historical account of electron transport from Ohm's law through transport in semiconductor nanostructures, and a review of cryogenic scanning probe techniques applied to semiconductor nanostructures. Both graduate students and researchers in the field of mesoscopic semiconductors or in semiconductor nanostructures will find this book useful.
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Quantum Transport in Semiconductor Submicron Structures (NATO Science Series E:)
Manufacturer: Springer
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ASIN: 0792341902 |
Book Description
The quantum transport phenomena observed in semiconductor-based nanostructures over the past decade are described by the leading researchers in the field. Key articles describe the status of the quantum Hall effect, quantum dot transport, the theory of mesoscopic transport properties and a survey of mesoscopic transport phenomena, incompressible electron fluids, the Luttinger liquid, quantum chaology, quantum coherence and interactions, spectroscopy of nanostructures, and Cooper pair tunnelling. The most recent developments are described in a number of shorter contributions, providing a survey of the present status of research in this extremely active area of fundamental and applied condensed matter research. The presentation is suitable for advanced students and Ph.D. researchers wishing to gain an insight into the most recent work in the area.
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Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems (Modeling and Simulation in Science, Engineering and Technology)
Manufacturer: Birkhäuser Boston
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ASIN: 081764489X |
Book Description
The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in many applications in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning.
The overall presentation covers not only modeling aspects and qualitative analysis of mathematical problems, but also inverse problems, which lead to a detailed assessment of models in connection with their applications, and to computational problems, which lead to an effective link of models to the analysis of real-world systems. The book is divided into three parts: Part I presents fundamental aspects of the Boltzmann equation; Part II deals with the modeling of semiconductor devices as well as related applications and computational topics; Part III covers a variety of applications in physics and the natural sciences, offering a range of very different conceivable developments of mathematical kinetic theory.
Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.
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Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations (Mesoscopic Physics and Nanotechnology)
Pier A. Mello , and
Narendra Kumar
Manufacturer: Oxford University Press, USA
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ASIN: 0198525826 |
Book Description
This book presents the statistical theory of complex wave scattering and quantum transport in physical systems which have chaotic classical dynamics, as in the case of microwave cavities and quantum dots, or which possess quenched randomness, as in the case of disordered conductors - with an emphasis on mesoscopic fluctuations. The statistical regularity of the phenomena is revealed in a natural way by adopting a novel maximum-entropy approach. Shannon's information entropy is maximised, subject to the symmetries and constraints which are physically relevant, within the powerful and non-perturbative theory of random matrices; this is a most distinctive feature of the book. Aiming for a self-contained presentation, the quantum theory of scattering, set in the context of quasi-one-dimensional, multichannel systems, and related directly to scattering problems in mesoscopic physics, is introduced in chapters two and three. The linear-response theory of quantum electronic transport, adapted to the context of mesoscopic systems, is discussed in chapter four. These chapters, together with chapter five on the maximum-entropy approach and chapter eight on weak localization, have been written in a most pedagogical style, suitable for use on graduate courses. In chapters six and seven, the problem of electronic transport through classically chaotic cavities and quasi-one-dimensional disordered systems is discussed. Many exercises are included, most of which are worked through in detail, aiding graduate students, teachers, and research scholars interested in the subject of quantum transport through disordered and chaotic systems.
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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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Binding: Paperback
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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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- Quantum Theory of Solids, 2nd Revised Edition
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- Six Not-So-Easy Pieces: Einstein's Relativity, Symmetry, and Space-Time (Helix Books)
- Spacetime and Geometry: An Introduction to General Relativity
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