Anderson Localization and Its Ramifications

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540407850
Total Pages : 446 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Anderson Localization and Its Ramifications by : Tobias Brandes

Download or read book Anderson Localization and Its Ramifications written by Tobias Brandes and published by Springer Science & Business Media. This book was released on 2003-09-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phenomenon of localization of the electronic wave function in a random medium can be regarded as the key manifestation of quantum coherence in a condensed matter system. As one of the most remarkable phenomena in condensed matter physics discovered in the 20th century, the localization problem is an indispensable part of the theory of the quantum Hall effects and rivals superconductivity in its significance as a manifestation of quantum coherence at a macroscopic scale. The present volume, written by some of the leading experts in the field, is intended to highlight some of the recent progress in the field of localization, with particular emphasis on the effect of interactions on quantum coherence. The chapters are written in textbook style and should serve as a reliable and thorough introduction for advanced students or researchers already working in the field of mesoscopic physics.

50 Years of Anderson Localization

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Publisher : World Scientific
ISBN 13 : 9814299073
Total Pages : 610 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis 50 Years of Anderson Localization by : Elihu Abrahams

Download or read book 50 Years of Anderson Localization written by Elihu Abrahams and published by World Scientific. This book was released on 2010 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume celebrates the five decades of the impact of Anderson localization on modern physics. In addition to the historical perspective on its origin, it provides a comprehensive description of the experimental and theoretical aspects of Anderson localization.

Localization in Disordered Systems

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Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis Localization in Disordered Systems by : Wolfgang Weller

Download or read book Localization in Disordered Systems written by Wolfgang Weller and published by Wiley-VCH. This book was released on 1988 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering and Localization of Classical Waves in Random Media

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Publisher : World Scientific
ISBN 13 : 9789971505394
Total Pages : 660 pages
Book Rating : 4.5/5 (53 download)

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Book Synopsis Scattering and Localization of Classical Waves in Random Media by : Ping Sheng

Download or read book Scattering and Localization of Classical Waves in Random Media written by Ping Sheng and published by World Scientific. This book was released on 1990 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has witnessed breakthroughs in the understanding of the wave localization phenomena and its implications for wave multiple scattering in inhomogeneous media. This book brings together review articles written by noted researchers in this field in a tutorial manner so as to give the readers a coherent picture of its status. It would be valuable both as an up-to-date reference for active researchers as well as a readable source for students looking to gain an understanding of the latest results.

The Elements of Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662007312
Total Pages : 586 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Elements of Mechanics by : Giovanni Gallavotti

Download or read book The Elements of Mechanics written by Giovanni Gallavotti and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: The word "elements" in the title of this book does not convey the implica tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 1975-1978.

Supersymmetry in Disorder and Chaos

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Publisher : Cambridge University Press
ISBN 13 : 9780521663823
Total Pages : 470 pages
Book Rating : 4.6/5 (638 download)

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Book Synopsis Supersymmetry in Disorder and Chaos by : Konstantin Efetov

Download or read book Supersymmetry in Disorder and Chaos written by Konstantin Efetov and published by Cambridge University Press. This book was released on 1999-09-13 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive treatment of the ideas and applications of supersymmetry.

Introduction to Wave Scattering, Localization and Mesoscopic Phenomena

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Publisher : Springer Science & Business Media
ISBN 13 : 3540291563
Total Pages : 341 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Introduction to Wave Scattering, Localization and Mesoscopic Phenomena by : Ping Sheng

Download or read book Introduction to Wave Scattering, Localization and Mesoscopic Phenomena written by Ping Sheng and published by Springer Science & Business Media. This book was released on 2006-08-25 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves represent an important topic of study in physics, mathematics, and engineering. This volume is a resource book for those interested in understanding the physics underlying nanotechnology and mesoscopic phenomena. It aims to bridge the gap between the textbooks and research frontiers in wave related topics.

Mathematical Physics in One Dimension

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Publisher : Academic Press
ISBN 13 : 1483218562
Total Pages : 580 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Physics in One Dimension by : Elliott H. Lieb

Download or read book Mathematical Physics in One Dimension written by Elliott H. Lieb and published by Academic Press. This book was released on 2013-09-17 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles covers problems of mathematical physics with one-dimensional analogs. The book discusses classical statistical mechanics and phase transitions; the disordered chain of harmonic oscillators; and electron energy bands in ordered and disordered crystals. The text also describes the many-fermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the time-dependent phenomena of many-body systems (i.e., classical or quantum-mechanical dynamics). Physicists and mathematicians will find the book invaluable.

Models of Disorder

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Publisher : Cambridge University Press
ISBN 13 : 9780521292801
Total Pages : 548 pages
Book Rating : 4.2/5 (928 download)

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Book Synopsis Models of Disorder by : J. M. Ziman

Download or read book Models of Disorder written by J. M. Ziman and published by Cambridge University Press. This book was released on 1979-09-06 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1979, this book discusses how the physical and chemical properties of disordered systems such as liquids, glasses, alloys, amorphous semiconductors, polymer solutions and magnetic materials can be explained by theories based on a variety of mathematical models, including random assemblies of hard spheres, tetrahedrally-bonded networks and lattices of 'spins'. The text describes these models and the various mathematical theories by which the observable properties are derived. Techniques and concepts such as the mean field and coherent approximations, graphical summation, percolation, scaling and the renormalisation group are explained and applied. This book will be of value to anyone with an interest in theoretical and experimental physics.

Ill-condensed Matter: Les Houches Session Xxxi

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Publisher : World Scientific
ISBN 13 : 9814531898
Total Pages : 636 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Ill-condensed Matter: Les Houches Session Xxxi by : R Balian

Download or read book Ill-condensed Matter: Les Houches Session Xxxi written by R Balian and published by World Scientific. This book was released on 1984-03-01 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Percolation and Localization (D J Thouless)Disordered Systems — Experimental Viewpoint (J Joffrin)Lectures on Amorphous Systems (P W Anderson)Elementary Algebraic Topology Related to the Theory of Defects and Textures (V Poenaru)Models of Disordered Materials (S Kirkpatrick)Thermal and Geometrical Critical Phenomena in Random Systems (T C Lukensky)A Short Guide to Polymer Physics (P-G de Gennes)and 9 seminars Readership: Graduate students and researchers in condensed matter physics.

Mesoscopic Physics of Electrons and Photons

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Publisher : Cambridge University Press
ISBN 13 : 1139463993
Total Pages : 479 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Mesoscopic Physics of Electrons and Photons by : Eric Akkermans

Download or read book Mesoscopic Physics of Electrons and Photons written by Eric Akkermans and published by Cambridge University Press. This book was released on 2007-05-28 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mesoscopic physics covers a whole class in interference effects related to the propagation of waves in complex and random media. These effects are ubiquitous in physics, from the behaviour of electrons in metals and semiconductors to the propagation of electromagnetic waves in suspensions such as colloids, and quantum systems like cold atomic gases. A solid introduction to quantum mesoscopic physics, this book is a modern account of the problem of coherent wave propagation in random media. It provides a unified account of the basic theoretical tools and methods, highlighting the common aspects of the various optical and electronic phenomena involved and presenting a large number of experimental results. With over 200 figures, and exercises throughout, the book was originally published in 2007 and is ideal for graduate students in physics, electrical engineering, applied physics, acoustics and astrophysics. It will also be an interesting reference for researchers.

Localized States in Physics: Solitons and Patterns

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Publisher : Springer Science & Business Media
ISBN 13 : 3642165494
Total Pages : 295 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Localized States in Physics: Solitons and Patterns by : Orazio Descalzi

Download or read book Localized States in Physics: Solitons and Patterns written by Orazio Descalzi and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems driven far from thermodynamic equilibrium can create dissipative structures through the spontaneous breaking of symmetries. A particularly fascinating feature of these pattern-forming systems is their tendency to produce spatially confined states. These localized wave packets can exist as propagating entities through space and/or time. Various examples of such systems will be dealt with in this book, including localized states in fluids, chemical reactions on surfaces, neural networks, optical systems, granular systems, population models, and Bose-Einstein condensates. This book should appeal to all physicists, mathematicians and electrical engineers interested in localization in far-from-equilibrium systems. The authors - all recognized experts in their fields - strive to achieve a balance between theoretical and experimental considerations thereby giving an overview of fascinating physical principles, their manifestations in diverse systems, and the novel technical applications on the horizon.

Normal Modes and Localization in Nonlinear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9401724520
Total Pages : 290 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Normal Modes and Localization in Nonlinear Systems by : Alexander F. Vakakis

Download or read book Normal Modes and Localization in Nonlinear Systems written by Alexander F. Vakakis and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a single-mode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape obtained with the direct approach is compared with that obtained with the discretization approach for some values of the excitation frequency. In the single-mode discretization, the spatial distribution of the deflection is assumed a priori to be given by the linear mode shape ¢n, which is parametrically excited, as Equation (41). Thus, the mode shape is not influenced by the nonlinear curvature and nonlinear damping. On the other hand, in the direct approach, the mode shape is not assumed a priori; the nonlinear effects modify the linear mode shape ¢n. Therefore, in the case of large-amplitude oscillations, the single-mode discretization may yield inaccurate mode shapes. References 1. Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. v., Pilipchuk, V. N., and Zevin A. A., Nonnal Modes and Localization in Nonlinear Systems, Wiley, New York, 1996.

Caught by Disorder

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Publisher : Springer Science & Business Media
ISBN 13 : 1461201691
Total Pages : 177 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Caught by Disorder by : Peter Stollmann

Download or read book Caught by Disorder written by Peter Stollmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disorder is one of the predominant topics in science today. The present text is devoted to the mathematical studyofsome particular cases ofdisordered systems. It deals with waves in disordered media. To understand the significance of the influence of disorder, let us start by describing the propagation of waves in a sufficiently ordered or regular environment. That they do in fact propagate is a basic experience that is verified by our senses; we hear sound (acoustic waves) see (electromagnetic waves) and use the fact that electromagnetic waves travel long distances in many aspects ofour daily lives. The discovery that disorder can suppress the transport properties of a medium is oneof the fundamental findings of physics. In its most prominent practical application, the semiconductor, it has revolutionized the technical progress in the past century. A lot of what we see in the world today depends on that relatively young device. The basic phenomenon of wave propagation in disordered media is called a metal-insulator transition: a disordered medium can exhibit good transport prop erties for waves ofrelatively high energy (like a metal) and suppress the propaga tion of waves of low energy (like an insulator). Here we are actually talking about quantum mechanical wave functions that are used to describe electronic transport properties. To give an initial idea of why such a phenomenon could occur, we have to recall that in physical theories waves are represented by solutions to certain partial differential equations. These equations link time derivatives to spatial derivatives.

Spectral Theory of Random Schrödinger Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 1461244889
Total Pages : 611 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Spectral Theory of Random Schrödinger Operators by : R. Carmona

Download or read book Spectral Theory of Random Schrödinger Operators written by R. Carmona and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the seminal work of P. Anderson in 1958, localization in disordered systems has been the object of intense investigations. Mathematically speaking, the phenomenon can be described as follows: the self-adjoint operators which are used as Hamiltonians for these systems have a ten dency to have pure point spectrum, especially in low dimension or for large disorder. A lot of effort has been devoted to the mathematical study of the random self-adjoint operators relevant to the theory of localization for disordered systems. It is fair to say that progress has been made and that the un derstanding of the phenomenon has improved. This does not mean that the subject is closed. Indeed, the number of important problems actually solved is not larger than the number of those remaining. Let us mention some of the latter: • A proof of localization at all energies is still missing for two dimen sional systems, though it should be within reachable range. In the case of the two dimensional lattice, this problem has been approached by the investigation of a finite discrete band, but the limiting pro cedure necessary to reach the full two-dimensional lattice has never been controlled. • The smoothness properties of the density of states seem to escape all attempts in dimension larger than one. This problem is particularly serious in the continuous case where one does not even know if it is continuous.

Introduction to Condensed Matter Physics

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Publisher : World Scientific
ISBN 13 : 9812387110
Total Pages : 612 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Introduction to Condensed Matter Physics by : Duan Feng

Download or read book Introduction to Condensed Matter Physics written by Duan Feng and published by World Scientific. This book was released on 2005 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is volume 1 of two-volume book that presents an excellent, comprehensive exposition of the multi-faceted subjects of modern condensed matter physics, unified within an original and coherent conceptual framework. Traditional subjects such as band theory and lattice dynamics are tightly organized in this framework, while many new developments emerge spontaneously from it. In this volume,? Basic concepts are emphasized; usually they are intuitively introduced, then more precisely formulated, and compared with correlated concepts.? A plethora of new topics, such as quasicrystals, photonic crystals, GMR, TMR, CMR, high Tc superconductors, Bose-Einstein condensation, etc., are presented with sharp physical insights.? Bond and band approaches are discussed in parallel, breaking the barrier between physics and chemistry.? A highly accessible chapter is included on correlated electronic states ? rarely found in an introductory text.? Introductory chapters on tunneling, mesoscopic phenomena, and quantum-confined nanostructures constitute a sound foundation for nanoscience and nanotechnology.? The text is profusely illustrated with about 500 figures.

Advanced Solid State Physics

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Publisher : Cambridge University Press
ISBN 13 : 0521194903
Total Pages : 415 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Advanced Solid State Physics by : Philip Phillips

Download or read book Advanced Solid State Physics written by Philip Phillips and published by Cambridge University Press. This book was released on 2012-03 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces students to the key research topics within modern solid state physics with the minimum of mathematics.