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Author : Dmitri Nevedrov
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.5/5 (174 download)
Download or read book Nonlinear Effects in Quantum Lattices written by Dmitri Nevedrov and published by . This book was released on 1999 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikhail D. Starostenkov
Publisher : Materials Research Forum LLC
ISBN 13 : 1644902885
Total Pages : 129 pages
Book Rating : 4.6/5 (449 download)
Download or read book Nonlinear Effects in Model Lattices of Metals written by Mikhail D. Starostenkov and published by Materials Research Forum LLC. This book was released on 2024-02-10 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an overview of nonlinear effects arising in discrete lattices of metals. Topics covered include discrete breathers, quasi-breathers, soliton waves, and shock waves. Keywords: Soliton, Discrete Breathers, Quasi-Breathers, Shock Waves, Supersonic Waves, Molecular Dynamics, Self-Organization, Nonlinearity, Dislocation Extraction Algorithm, Frenkel Pairs, Stacking Fault Tetrahedra.
Author : Xiao-Feng Pang
Publisher : World Scientific
ISBN 13 : 9812561161
Total Pages : 646 pages
Book Rating : 4.8/5 (125 download)
Download or read book Quantum Mechanics in Nonlinear Systems written by Xiao-Feng Pang and published by World Scientific. This book was released on 2005 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the history of physics and science, quantum mechanics has served as the foundation of modern science. This book discusses the properties of microscopic particles in nonlinear systems, principles of the nonlinear quantum mechanical theory, and its applications in condensed matter, polymers and biological systems.The book is essentially composed of three parts. The first part presents a review of linear quantum mechanics, as well as theoretical and experimental fundamentals that establish the nonlinear quantum mechanical theory. The theory itself and its essential features are covered in the second part. In the final part, extensive applications of this theory in physics, biology and polymer are introduced. The whole volume forms a complete system of nonlinear quantum mechanics.The book is intended for researchers, graduate students as well as upper-level undergraduates.
Author : Maurice Jacob
Publisher : World Scientific
ISBN 13 : 9814518891
Total Pages : 526 pages
Book Rating : 4.8/5 (145 download)
Download or read book Non-linear And Collective Phenomena In Quantum Physics: A Reprint Volume From Physics Reports written by Maurice Jacob and published by World Scientific. This book was released on 1983-08-01 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Extended Systems in Field Theory :Introduction (J-L Gervais and A Neveu)Vortices and Quark Confinement in Non-Abelian Gauge Theories (S Mandelstam)Magnetic and Electric Confinement of Quarks (Y Nambu)Examples of Four-Dimensional Soliton Solutions and Abnormal Nuclear States (T D Lee)Classical Solution in the Massive Thirring Model (S-J Chang)Semiclassical Quantization Methods in Field Theory (A Neveu)The Quantum Theory of Solitons and Other Non-Linear Classical Waves (R Jackiw)Collective Coordinate Method for Quantization of Extended Systems (J-L Gervais, A Jevicki and B Sakita)Quantum Expansion of Soliton Solutions (N H Christ)Hartree-Type Approximation Applied to a ϕ4 Field Theory (S-J Chang)Soliton Operators for the Quantized Sine–Gordon Equation (S Mandelstam)Classical Aspects and Fluctuation-Behaviour of Two Dimensional Models in Statistical Mechanics and Many Body Physics (B Schroer)Quarks on a Lattice, or, the Colored String Model (K G Wilson)New Ideas about Confinement (L Susskind and J Kogut)Gauge Fields on a Lattice (C Itzykson)Non-Perturbative Aspects in Quantum Field Theory:Self-Dual Solutions to Euclidean Yang–Mills Equations (E Corrigan)An Introduction to the Twistor Programme (J Madore, J L Richard and R Stora)Collective Coordinates with Non-Trivial Dynamics (J-L Gervais)A Theory of the Strong Interactions (D J Gross)Magneticmonopoles (D Olive)Dynamical and Topological Considerations on Quark Confinement (F Englert and P Windey)Difficulties in Fixing the Gauge in Non-Abelian Gauge Theories (S Sciuto)Indeterminate-Mass Particles (B M Mccoy and T T Wu)Duality for Discrete Lattice Gauge Fields (C Itzykson)Large Order Estimates in Perturbation Theory (J Zinn-Justin)The Borel Transform and the Renormalization Group (G Parisi)Planar Diagrams (E Brezin)Exact S-Matrices and Form Factors in 1 + 1 Dimensional Field Theoretic Models with Soliton Behaviour (M Karowski)Topology and Higher Symmetries of the Two-Dimensional Nonlinear σ Model (A D'adda, M Luscher and P Di Vecchia)Two-Dimensional Yang–Mills Theory in the Leading 1/N Expansion (T T Wu)Superfluidity and the Two-Dimensional XY Model' (D R Nelson)Bosonized Fermions in Three Dimensions (A Luther)Symmetry and Topology Concepts for Spin Glasses and Other Glasses (G Toulouse)Common Trends in Particle and Condensed Matter Physics:Introduction to Localization(D J Thouless)Conductivity Scaling and Localization(E Abrahams)Disordered Electronic System as a Model of Interacting Matrices(F Wegner)Status Report on Spin Glasses (Not Included in this Report)(S Kirkpatrick)Mean Field Theory for Spin Glasses(G Parisi)The Random Energy Model(B Derrida)Towards a Mean Field Theory of Spin Glasses: the Tap Route Revisited (C De Dominicis)On the Connection Between Spin Glasses and Gauge Field Theories(G Toulouse, J Vannimenus)Monte Carlo Simulations of Lattice Gauge Theories(C Rebbi)Large Dimension Expansions and Transition Patterns in Lattice Gauge Theories(J-M Drouffe)Progress in Lattice Gauge Theory(J B Kogut)Phase Structure of the Z(2) Gauge and Matter Theory(D Horn)General Introduction to Confinement(S Mandelstam)A Simple Picture of the Weak-to-Strong Coupling Transition in Quantum Chromodynamics(C G Callan Jr.)Quantum Fluctuations in a Multiinstanton Background(B A Berg)Some Comments on the Crossover Between Strong and Weak Coupling in Su(2) Pure Yang–Mills Theory(J Frohlich)String Dynamics in QCD (J-L Gervais, A Neveu)Dual Models and Strings: The Critical Dimension(C B Thorn: )Duality and Finite Size Effects in Six Vertex Models(C.B. Thorn: )Scaling at a Bifurcation Point(M Nauenberg, D Scalapino)Some Implications of a Cosmological Phase Transition(T W B Kibble) Readership: Graduate students and researchers in particle physics andcondensed matter physics.
Author : Richart E. Slusher
Publisher : Springer Science & Business Media
ISBN 13 : 3662051443
Total Pages : 382 pages
Book Rating : 4.6/5 (62 download)
Download or read book Nonlinear Photonic Crystals written by Richart E. Slusher and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear optical studies of periodic dielectric structures have blossomed in the past two decades. New fabrication techniques are producing fiber grating and multidimensional photonic crystals in materials where the refractive index can be varied by light pulses and beams. Gap solitons that can propagate at any velocity from zero to the speed of light and spatial solitons that prevent the diffractive spread of light in waveguide arrays are two examples of the new phenomena described in this book. Many new materials and structures are being developed that will impact new optical devices with applications in optical communications and optical data processing. All the above topics are addressed in detail in this book.
Author : Richard Grant Smith
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.F/5 ( download)
Download or read book Nonlinear Quantum Effects written by Richard Grant Smith and published by . This book was released on 1963 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ignazio Licata and Sauro Succi
Publisher : MDPI
ISBN 13 : 3038423068
Total Pages : 291 pages
Book Rating : 4.0/5 (384 download)
Download or read book Non-Linear Lattice written by Ignazio Licata and Sauro Succi and published by MDPI. This book was released on 2018-07-17 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Non-Linear Lattice" that was published in Entropy
Author : M. Toda
Publisher : Springer Science & Business Media
ISBN 13 : 9780792304425
Total Pages : 396 pages
Book Rating : 4.3/5 (44 download)
Download or read book Nonlinear Waves and Solitons written by M. Toda and published by Springer Science & Business Media. This book was released on 1989-11-30 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' it is certainly a beautiful presentation, very well adapted to teaching beginners. I am sure this book will be successful.' Inverse Problems, 1990
Author : P.L. Christiansen
Publisher : Springer Science & Business Media
ISBN 13 : 1489916091
Total Pages : 549 pages
Book Rating : 4.4/5 (899 download)
Download or read book Future Directions of Nonlinear Dynamics in Physical and Biological Systems written by P.L. Christiansen and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early in 1990 a scientific committee was formed for the purpose of organizing a high-level scientific meeting on Future Directions of Nonlinear Dynamics in Physical and Biological Systems, in honor of Alwyn Scott's 60th birthday (December 25, 1991). As preparations for the meeting proceeded, they were met with an unusually broad-scale and high level of enthusiasm on the part of the international nonlinear science community, resulting in a participation by 168 scientists from 23 different countries in the conference, which was held July 23 to August 11992 at the Laboratory of Applied Mathematical Physics and the Center for Modelling, Nonlinear Dynamics and Irreversible Thermodynamics (MIDIT) of the Technical University of Denmark. During the meeting about 50 lectures and 100 posters were presented in 9 working days. The contributions to this present volume have been grouped into the following chapters: 1. Integrability, Solitons, and Coherent Structures 2. Nonlinear Evolution Equations and Diffusive Systems 3. Chaotic and Stochastic Dynamics 4. Classical and Quantum Lattices and Fields 5. Superconductivity and Superconducting Devices 6. Nonlinear Optics 7. Davydov Solitons and Biomolecular Dynamics 8. Biological Systems and Neurophysics. AI Scott has made early and fundamental contributions to many of these different areas of nonlinear science. They form an important subset of the total number of the papers and posters presented at the meeting. Other papers from the meeting are being published in a special issue of Physica D Nonlinear Phenomena.
Author : Cornelia Denz
Publisher : Springer
ISBN 13 : 3642020666
Total Pages : 299 pages
Book Rating : 4.6/5 (42 download)
Download or read book Nonlinearities in Periodic Structures and Metamaterials written by Cornelia Denz and published by Springer. This book was released on 2010-03-11 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optical information processing of the future is associated with a new generation of compact nanoscale optical devices operating entirely with light. Moreover, adaptive features such as self-guiding, reconfiguration and switching become more and more important. Nonlinear devices offer an enormous potential for these applications. Consequently, innovative concepts for all-optical communication and information technologies based on nonlinear effects in photonic-crystal physics and nanoscale devices as metamaterials are of high interest. This book focuses on nonlinear optical phenomena in periodic media, such as photonic crystals, optically-induced, adaptive lattices, atomic lattices or metamaterials. The main purpose is to describe and overview new physical phenomena that result from the interplay between nonlinearities and structural periodicities and is a guide to actual and future developments for the expert reader in optical information processing, as well as in the physics of cold atoms in optical lattices.
Author : Morikazu Toda
Publisher : Springer
ISBN 13 : 9783540102243
Total Pages : 203 pages
Book Rating : 4.1/5 (22 download)
Download or read book Theory of Nonlinear Lattices written by Morikazu Toda and published by Springer. This book was released on 1981-06-01 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with waves in lattices composed of particles interacting by nonlinear forces. Since motion in a lattice with exponential interac tion between nearest neighbors can be analyzed rigorously, it is treated as the central subject to be discussed. From the idea that the fundamentals of the mathematical methods for nonlinear lattices would be elucidated by rigorous results, I was led in 1966 to the lattice with exponential interaction, which has since proved to be a subject of intensive investigation by many researchers. Therefore I have tried to describe the development of the study of this lattice. The presentation is intended to be coherent and self-contained. Chapter 1 starts with a rather historical exposition, and deals with the motion in the lattices and in continuous systems in general. Funda mental concepts necessary for later chapters, including the partic1elike behavior of stable pulses (solitons), the most characteristic entities of the nonlinear waves, are introduced. The dual transformation, which exchanges the roles of particles and interaction, is described for devel opment in the next chapter.
Author : V.M. Kobryanskii
Publisher : iSmithers Rapra Publishing
ISBN 13 : 9781859571941
Total Pages : 132 pages
Book Rating : 4.5/5 (719 download)
Download or read book Developments in Polyacetylene - Nanopolyacetylene written by V.M. Kobryanskii and published by iSmithers Rapra Publishing. This book was released on 2000 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review discusses the preparation of highly ordered polyacetylene blends and compares forms of polyacetylene obtained by different methodsand includes an analysis of the formation of defects in polyacetylene during growth of the polyene chain and cis-trans isomerisation. The mechanism of acetylene polymerisation with rhenium catalysts, and the reactivity of highly ordered polyacetylene blends to oxidation and doping are also discussed. An additional indexed section containing several hundred abstracts from the Rapra Polymer Library database gives useful references for further reading.
Author : J. Messier
Publisher : Springer Science & Business Media
ISBN 13 : 9400922957
Total Pages : 393 pages
Book Rating : 4.4/5 (9 download)
Download or read book Nonlinear Optical Effects in Organic Polymers written by J. Messier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Photonics, the counterpart of electronics, involves the usage of Photons instead of electrons to process information and perform various switching operations. Photonics is projected to be the technology of the future because of the gain in speed, processing and interconnectivity of network. Nonlinear optical processes will play the key role in photonics Where they can be used for frequency conversion, optical switching and modulation. Organic molecules and polymers have emerged as a new class of highly promising nonlinear optical materials Which has captured the attention of scientists world wide. The organic systems offer the advantage of large nonresonant nonlinearities derived from the 1T electrons contribution, femtosecond response time and the flexibility to modify their molecular structures. In addition, organic polymers can easily be fabricated in various device structures compatible with the fiber-optics communication system. The area of nonlinear optics of organic molecules and polymers offers exciting opportunities for both fundamental research and technologic development. It is truly an interdisciplinary area. This proceeding is the outcome of the first NATO Advanced Research WOrkshop in this highly important area. The objective of the workshop was to provide a forum for scientists of varying background from both universities and industries to come together and interface their expertize. The scope of the workshop was multidisciplinary with active participations from Chemists, physicists, engineers and materials scientists from many countries.
Author : A. Srikantha Phani
Publisher : John Wiley & Sons
ISBN 13 : 1118729595
Total Pages : 312 pages
Book Rating : 4.1/5 (187 download)
Download or read book Dynamics of Lattice Materials written by A. Srikantha Phani and published by John Wiley & Sons. This book was released on 2017-09-25 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a comprehensive introduction to the dynamic response of lattice materials, covering the fundamental theory and applications in engineering practice Offers comprehensive treatment of dynamics of lattice materials and periodic materials in general, including phononic crystals and elastic metamaterials Provides an in depth introduction to elastostatics and elastodynamics of lattice materials Covers advanced topics such as damping, nonlinearity, instability, impact and nanoscale systems Introduces contemporary concepts including pentamodes, local resonance and inertial amplification Includes chapters on fast computation and design optimization tools Topics are introduced using simple systems and generalized to more complex structures with a focus on dispersion characteristics
Author : Fatkhulla Abdullaev
Publisher : Springer Science & Business Media
ISBN 13 : 1402021909
Total Pages : 563 pages
Book Rating : 4.4/5 (2 download)
Download or read book Nonlinear Waves: Classical and Quantum Aspects written by Fatkhulla Abdullaev and published by Springer Science & Business Media. This book was released on 2006-03-02 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schrödinger equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed. Particular attention is given to nonlinear matter waves in periodic potential.
Author : Chaohao Gu
Publisher : Springer Science & Business Media
ISBN 13 : 1402030886
Total Pages : 317 pages
Book Rating : 4.4/5 (2 download)
Download or read book Darboux Transformations in Integrable Systems written by Chaohao Gu and published by Springer Science & Business Media. This book was released on 2006-07-09 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential geometry. This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in multi-dimensional cases, can be elucidated clearly. The method covers a series of important equations such as various kinds of AKNS systems in R1+n, harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations to higher dimensional case, theory of line congruences in three dimensions or higher dimensional space etc. All these cases are explained in detail. This book contains many results that were obtained by the authors in the past few years. Audience: The book has been written for specialists, teachers and graduate students (or undergraduate students of higher grade) in mathematics and physics.
Author : S. Miyata
Publisher : Elsevier
ISBN 13 : 0444596747
Total Pages : 555 pages
Book Rating : 4.4/5 (445 download)
Download or read book Nonlinear Optics written by S. Miyata and published by Elsevier. This book was released on 2012-12-02 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of nonlinear optics developed gradually with the invention of lasers. After the discovery of second-harmonic generation in quartz, many other interesting nonlinear optical processes were rapidly discovered. Simultaneously theoretical programmes for the understanding of nonlinear optical phenomena were stimulated in accordance to develop structure-property relationships. In the beginning, research advances were made on inorganic ferroelectric materials followed by semiconductors. In the 1970's, the importance of organic materials was realised because of their nonlinear optical responses, fast optical response, high laser damage thresholds, architectural flexibility, and ease of fabrication. At present materials can be classified into three categories - inorganic ferroelectrics, semiconductors, and organic materials. Advances have also been made in quantum chemistry approaches to investigate nonlinear optical susceptibilities and in the development of novel nonlinear optical devices. Generally, inorganic and organic nonlinear optical materials and their related optical processes are reported in separate meetings. This book collects for the first time papers covering the recent developments and areas of present research in the field of nonlinear optical materials.
