Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed. The dynamic and non-linear analysis of deformation and fracture of quasicrystals in this volume presents an innovative approach. It gives a clear-cut, strict and systematic mathematical overview of the field. Comprehensive and detailed mathematical derivations guide readers through the work. By combining mathematical calculations and experimental data, theoretical analysis and practical applications, and analytical and numerical studies, readers will gain systematic, comprehensive and in-depth knowledge on continuum mechanics, condensed matter physics and applied mathematics.

Mathematics --- Quantum mechanics. Quantumfield theory --- Fluid mechanics --- Statistical physics --- Matter physics --- EMI (electromagnetic interference) --- materie (fysica) --- quantummechanica --- toegepaste wiskunde --- mechanica

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the Haldane--Shastry model as the special case S=1/2.  While spinons in the Haldane-Shastry model obey abelian half-fermi statistics, the spinons in the general model introduced here obey non-abelian statistics.  This manifests itself through topological choices for the fractional momentum spacings.  The general model is derived by mapping exact models of quantized Hall states onto spin chains.  The book begins with pedagogical review of all the relevant models including the non-abelian statistics in the Pfaffian Hall state, and is understandable to every student with a graduate course in quantum mechanics.

Mathematical physics --- Quantum mechanics. Quantumfield theory --- Statistical physics --- Matter physics --- EMI (electromagnetic interference) --- quantumfysica --- materie (fysica) --- quantummechanica --- theoretische fysica --- wiskunde

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The concepts of the Jahn-Teller effect and vibronic coupling are being applied to more and more systems in both chemistry and physics. Aspects of structural chemistry such as the distortion of the nuclear framework to a lower-symmetry conformation have received an increasing attention, as well as the dynamics on the coupled potential energy surfaces.   The Jahn-Teller intersections are now recognized as prototype cases of conical intersections where the nuclear motion is known to be inherently nonadiabatic in nature and interchanges freely between the different potential energy surfaces. In the condensed phase especially, the significance of the Jahn-Teller effect has been increasingly appreciated, following the discovery of superconductivity in the fullerides and of very large ("colossal") magnetoresistance in the manganite perovskites. Indeed, these materials are particularly challenging since the Jahn-Teller interaction competes with electronic correlation effects.     Vibronic Interactions and the Jahn-Teller Effect: Theory and Applications provides an in-depth discussion of the Jahn-Teller effect and vibronic interactions as reflected by the contributions presented at the XX International Conference on the Jahn-Teller effect, Fribourg, Switzerland, 2010. The following topics have been treated in a clear and concise way:   - Complex topologies of Jahn-Teller effect and conical intersections - Multi-state vibronic interactions on strongly coupled potential energy surfaces - Interplay of vibronic and spin-orbit coupling - Strain in Jahn-Teller systems and cooperative Jahn-Teller effect - Orbital ordering and its relation to ferromagnetism, ferroelectricity and molecular magnets - The Jahn-Teller effect in icosahedral systems - The Jahn-Teller effect and high temperature superconductivity   This book is of interest to a wide audience including academic and industrial theoretical and experimental physicists, chemists, spectroscopists, and crystallographers.

Quantum mechanics. Quantumfield theory --- Statistical physics --- Matter physics --- Chemistry --- Computer. Automation --- EMI (electromagnetic interference) --- materie (fysica) --- quantummechanica --- chemie --- informatica

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Molecular- and Nano-Tubes summarizes recent advancements in the synthesis, fabrication and applications of tubular structures.  An interdisciplinary overview of innovative science  focused on tubular structures is provided.  The reader is offered an overview of the different fields that molecular and nano tubes appear in, in order to learn the fundamental basics as well as the applications of these materials. This book also:  Shows how nanotechnology creates novel materials by crossing the barriers between biology and material science, electronics and optics, medicine and more Demonstrates that tubes are a fundamental element in nature and used in disparate applications such as ion channels and carbon nanotubes  Molecular- and Nano-Tubes is an ideal volume for researchers and engineers working in materials science and nanotechnology.

Quantum mechanics. Quantumfield theory --- Statistical physics --- Matter physics --- Inorganic chemistry --- Materials sciences --- Electrical engineering --- EMI (electromagnetic interference) --- materiaalkennis --- materie (fysica) --- quantummechanica --- nanotechniek --- anorganische chemie

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Pressure is one of the essential thermodynamic variables that, due to some former experimental difficulties, was long known as the forgotten variable.  But this has changed over the last decade. This book includes the most essential first experiments from the 1960s and reviews the progress made in understanding glass formation with the application of pressure in the last ten years. The systems include amorphous polymers and glass-forming liquids, polypeptides and polymers blends. The thermodynamics of these systems, the relation of the structural relaxation to the chemical specificity, and their present and future potential applications are discussed in detail. The book provides (a) an overview of systems exhibiting glassy behavior in relation to their molecular structure and provides readers with the current state of knowledge on the liquid-to-glass transformation, (b) emphasizes the relation between thermodynamic state and dynamic response and (c) shows that the information on the pressure effects on dynamics can be employed in the design of materials for particular applications. It is meant to serve as an advanced introductory book for scientists and graduate students working or planning to work with dynamics. Several scientific papers dealing with the effects of pressure on dynamics have appeared in leading journals in the fields of physics in the last ten years. The book provides researchers and students new to the field with an overview of the knowledge that has been gained in a coherent and comprehensive way.

Quantum mechanics. Quantumfield theory --- Statistical physics --- Matter physics --- Physicochemistry --- Macromolecules --- Chemical technology --- composieten --- EMI (electromagnetic interference) --- materie (fysica) --- quantummechanica --- chemische technologie --- polymeren --- fysicochemie