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Elsevier

North Holland

  • Topics in Soliton Theory

    • 1st Edition
    • Volume 167
    • R.W. Carroll
    • English
    When soliton theory, based on water waves, plasmas, fiber optics etc., was developing in the 1960-1970 era it seemed that perhaps KdV (and a few other equations) were really rather special in the set of all interesting partial differential equations. As it turns out, although integrable systems are still special, the mathematical interaction of integrable systems theory with virtually all branches of mathematics (and with many currently developing areas of theoretical physics) illustrates the importance of this area. This book concentrates on developing the theme of the tau function. KdV and KP equations are treated extensively, with material on NLS and AKNS systems, and in following the tau function theme one is led to conformal field theory, strings, and other topics in physics. The extensive list of references contains about 1000 entries.

  • Handbook on the Physics and Chemistry of Rare Earths

    • 1st Edition
    • Volume 15
    • English
    Volume 15 in this series continues the voyage of discovery started almost a decade ago.Chapter 98 adds significantly to an evaluation of systematic, experimental low-temperature studies of the ambivalent behaviours of cerium (ferromagnetism, antiferromagnetism, spin glass, superconductivity etc.) which depend upon its environment in materials. The conclusions arrived at should provide new data against which the theory can be advanced.The next chapter provides a review of rare earth carbides, emphasizing the thermodynamics, phase diagrams, crystal structures and physical properties. The binary rare earth carbides present an exceptionally wide range of compositions and structures both as solids and gas-phase molecules. Complex carbides with additional metal and non-metal components also receive attention.Metal-rich halides (i.e. compounds with an X/R ratio <2) are the subject of the next chapter. The compounds are classified according to their structure and chemical bonding characteristics and their electrical and magnetic properties are also reviewed.Chapter 101 deals with the preparation, structure, chemical and physical properties of heavy-metal fluoride glasses. Large amounts of rare earths can be added into these, and they possess a great potential for optical applications in the mid-infrared range as fiber optic glasses for communication and transmission of information, optical wave guides, fiber lasers and sensors.The following chapter explores the chemical kinetics of solvent and ligand exchange in aqueous lanthanide solutions. A wealth of tabulated information on rate and equilibrium constants is provided in textual and tabular form. Chapter 103 considers the fundamentally important reactions of the lanthanide ions with water. These interactions are discussed for both solids and solutions. The hydrated species are considered in detail for the aqueous solution, revealing the consequences of the lanthanide series sequence.The concluding chapter reviews macrocyclic complexes formed by rare earth and dioxouranium ions as templates. Synthetic trends and reactivity are considered as well as potential uses of these intriguing wrap-around structures.

  • Handbook of Magnetic Materials

    • 1st Edition
    • Volume 6
    • K.H.J. Buschow
    • English
    The Handbook of Magnetic Materials has a dual purpose; as a textbook, it provides an introduction to a given topic within magnetism, and as a work of reference, it serves scientists active in magnetism research. To fulfill these two goals, eachchapter in the Handbook is written by leading authorities in thefield, and combines state-of-the-art research results with an extensive compilation of archival knowledge.Magnetism is a rapidly expanding field which constantly continuesto encompass new phenomena. Examples of such subfields of magnetism are quadrupolar interactions, magnetic superconductors,and quasiscrystals: topics that are all covered in the presentvolume. The only common ground between these new materials andferromagnets, is the possession of a magnetic moment; the seriestitle has been slightly adjusted to reflect this. But in keepingwith tradition, the Handbook of Magnetic Materials continues toallow readers to acquaint themselves in great depth with topicsthrough the entire breadth of magnetism research.

  • Structures in Dynamics

    Finite Dimensional Deterministic Studies
    • 1st Edition
    • Volume 2
    • H.W. Broer + 3 more
    • English
    The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account.Presenting the contents of its authors' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs.All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.

  • Progress in Optics

    • 1st Edition
    • Volume 29
    • English
    This volume presents five authoritative review articles on optics and related subjects. The first article deals with important components of many opto-electronic systems, namely waveguide diffraction gratings. It presents an account of the use of waveguide gratings as well as a quantitative review of the properties of optical waveguides. The second article discusses the phenomenon of enhanced backscattering, which has attracted a good deal of attention in recent years. It contains an account of research carried out mainly but not exclusively in the U.S.S.R.. The generation and propagation of ultrashort optical pulses as well as some linear and non-linear effects which arise when such pulses propagate in free space or in material media, is dealt with in the next article. It also includes accounts of the use of ultrashort pulses in the fields of optical communications and data processing. The fourth article presents a brief review of several interferometric methods for overcoming the degradation of image quality caused by atmospheric fluctuations, including the so-called speckle masking method, speckle spectroscopy methods and optical long baseline interferometry with arrays of large telescopes. The concluding article deals with non-linear optical properties of semiconductors and metal crystallites in dielectric matrices. A good understanding of these properties is required when choosing the most appropriate materials for manufacturing devices which utilize several non-linear optical effects. Such devices would be particularly useful in connection with processing and transmission of information and their performance might eventually surpass those of present-day electronics.

  • Pseudo-Differential Operators on Manifolds with Singularities

    • 1st Edition
    • Volume 24
    • B.-W. Schulze
    • English
    The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics.The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R+ and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols.

  • Materials for Optoelectronic Devices, OEICs and Photonics

    • 1st Edition
    • Volume 19
    • H. Schlötterer + 3 more
    • English
    The aim of the contributions in this volume is to give a current overview on the basic properties and applications of semiconductor and nonlinear optical materials for optoelectronics and integrated optics. They provide a cross-linkage between different materials (III-V, II-VI, Si-Ge, glasses, etc.), various sample dimensions (from bulk crystals to quantum dots), and a range of techniques for growth (LPE to MOMBE) and for processing (from surface passivation to ion beams). Major growth techniques and materials are discussed, including the sophisticated technologies required to exploit the exciting properties of low dimensional semiconductors. These proceedings will prove an invaluable guide to the current state of optoelectronic and nonlinear optical materials development, as well as indicating trends and also future markets for optoelectronic devices.

  • The Development of Timing Control and Temporal Organization in Coordinated Action

    Invariant Relative Timing, Rhythms and Coordination
    • 1st Edition
    • Volume 81
    • J. Fagard + 1 more
    • English
    This volume examines the development of timing in coordinated action from several different ontogenetic perspectives. Some chapters emphasize the qualitative changes in manifest motor behavior during the early growth years and examine the relation between temporal characteristics of pre- and perinatal movements and goal directed actions with qualitatively different rules of temporal organization. Other contributors stress the developmentally invariant timing characteristics of species-typical and perhaps genetically programmed motor patterns of nonhuman organisms.Also examined is the molecular machinery that generates circumscribed motor patterns with stable temporal characteristics, as well as the reversible influences of peripheral feedback on and the interactions among discrete pattern generators. Despite their basic theoretical differences, both formulations imply the same generic hypothesis: that the temporal characteristics of manifest movement or action are controlled by central agencies acting on the peripheral skeleto-muscular system in a hierarchic top-down mode.

  • Handbook of Mathematical Economics

    • 1st Edition
    • Volume 4
    • W. Hildenbrand + 1 more
    • English
    The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field.The emphasis of this fourth volume of the Handbook of Mathematical Economics is on choice under uncertainty, general equilibrium analysis under conditions of uncertainty, economies with an infinite number of consumers or commodities, and dynamical systems. The book thus reflects some of the ideas that have been most influential in mathematical economics since the appearance of the first three volumes of the Handbook.Researchers... students, economists and mathematicians will all find this Handbook to be an indispensable reference source. It surveys the entire field of mathematical economics, critically reviewing recent developments. The chapters (which can be read independently) are written at an advanced level suitable for professional, teaching and graduate-level use. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier....

  • Analytical Techniques for the Characterization of Compound Semiconductors

    • 1st Edition
    • Volume 21
    • G. Bastard + 1 more
    • English
    This volume is a collection of 96 papers presented at the above Conference. The scope of the work includes optical and electrical methods as well as techniques for structural and compositional characterization. The contributed papers report on topics such as X-ray diffraction, TEM, depth profiling, photoluminescence, Raman scattering and various electrical methods. Of particular interest are combinations of different techniques providing complementary information. The compound semiconductors reviewed belong mainly to the III-V and III-VI families. The papers in this volume will provide a useful reference on the implications of new technologies in the characterization of compound semiconductors.

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