الصفحة 1
الصفحة 1
Open Quantum Systems II : The Markovian Approach
These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications.
Open Quantum Systems I : The Hamiltonian Approach
These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. This Volume, I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems.
Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups
In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of one-parameter operator semigroups in Banach spaces. This concerns in particular Markov semigroups in L1-spaces, motivated by applications to probability theory and dynamical systems. Recently many results on the asymptotic behaviour of Markov semigroups were extended to positive semigroups in Banach lattices with order-continuous norm, and to positive semigroups in non-commutative L1-spaces. Related results, historical notes, exercises, and open problems accompany each chapter.
Nonlinear Optical Crystals : A Complete Survey
Nonlinear optical crystals are widely used in modern optical science and technology for frequency conversion of laser light, i.e. to generate laser radiation at any specific wavelength in visible, UV or IR spectral regions. This unrivalled reference book contains the most complete and up-to-date information on properties of nonlinear optical crystals. It includes: * Database of 63 common and novel nonlinear optical crystals * Periodically-poled and self-frequency-doubling materials * Full description of linear and nonlinear optical properties * Significant amount of crystallophysical, thermophysical, spectroscopic, electro-optic and magneto-optic information * 7 mini-reviews on novel applications, such as deep-UV light generation, terahertz-wave generation, ultrashort laser pulse compression, photonic band-gap crystals, x3 nonlinearity, etc. * More than 1500 different references with full titles It is a vital source of information for scientists and engineers dealing with modern applications of nonlinear optical crystals in quantum electronics, photonics, optoelectronics and laser physics.
Non-Linear Dynamics and Fundamental Interactions
This volume contains the papers presented at the NATO Advanced Research Institute on "Non-Linear Dynamics and Fundamental Interactions" held in Tashkent, Uzbekistan, from Oct.10-16,2004. The main objective of the Workshop was to bring together people working in areas of Fundamental physics relating to Quantum Field Theory, Finite Temperature Field theory and their applications to problems in particle physics, phase transitions and overlap regions with the areas of Quantum Chaos. The other important area is related to aspects of Non-Linear Dynamics which has been considered with the topic of chaology. The applications of such techniques are to mesoscopic systems, nanostructures, quantum information, particle physics and cosmology. All this forms a very rich area to review critically and then find aspects that still need careful consideration with possible new developments to find appropriate solutions.
NMR-MRI, µSR and Mössbauer Spectroscopies in Molecular Magnets and magnetic nanoparticles
In this book an extensive overview on the results obtained during the last decade and on recent achievements in the study of molecular magnets by means of Nuclear Magnetic Resonance, Muon Spin Rotation, Magnetic Resonance Imaging and Mossbauer techniques is presented. The aim is to introduce the reader to these techniques and to give a general background on their application to molecular spin systems.
NMR - From Spectra to Structures : An Experimental Approach
Nuclear magnetic resonance spectroscopy is one of the most powerful analytical methods. This practice-oriented textbook aims at teaching how NMR experiments should be used to make structural asssignments. The book is intended as a practical guide for students and laboratory personnel, so that the emphasis is on practical rather than on theoretical aspects, which are treated only to the extent necessary to understand the experiments and to interpret the results.The second edition has been expanded to include several other heteronuclei (15N, 19F, 29Si, 77Se, 113Cd, 117Sn/119Sn, 195Pt, 207Pb) and a new chapter on solid state NMR. The problems section has been enlarged and now includes 50 problems.
New Techniques in Solid-State NMR
After the discovery of nuclear magnetic resonance, [1, 2] the new spectroscopy was used for the study of 1 H nuclei in liquids, but then the signal from copper in the receiver coil itself, the first observation of NMR in the solid state, was found.“Wide-line NMR”, named thus because of the line-broadening effects of dipolar interaction and chemical shift anisotropy, was not far behind, and soon led to significant advances through the analysis of spectral lineshapes. Inthis way Richards and Smith [3] demonstrated the presence of H3O+ cations in solid hydrates of strong acids, while Andrew and Eades [4] investigated the details of molecular motion in three solid benzenes. Even now, 50 years later, it is difficult to think of a technique which would provide a more convincing demonstration of the reality of these effects.
Multi-Carrier Spread Spectrum 2007 ; Proceedings from the 6th International Workshop on Multi-Carrier Spread Spectrum, May 2007,Herrsching, Germany
This combination known as multi-carrier spread spectrum (MC-SS) benefits from the advantages of both systems and offers high flexibility, high spectral efficiency, simple detection strategies, narrow-band interference rejection capabilities, etc. The basic principle of this combination is straightforward: The spreading is performed as direct sequence spread spectrum (DS-SS) but instead of transmitting the chips over a single carrier, several sub-carriers are employed. The MC modulation and demodulation can easily be realized in the digital domain by performing IFFT and FFT operations. The separation of the users’ signals can be performed in the code domain. MC-SS systems can perform the spreading in frequency direction, which allows for simple signal detection strategies. Since 1993, MC-SS has been deeply studied and new alternative solutions have been proposed.
Motivic Homotopy Theory : Lectures at a Summer School in Nordfjordeid, Norway, August 2002
This book is based on lectures given at a summer school held in Nordfjordeid on the Norwegian west coast in August 2002. In the little town with the sp- tacular surroundings where Sophus Lie was born in 1842, the municipality, in collaboration with the mathematics departments at the universities, has established the “Sophus Lie conference center”. The purpose is to help or- nizing conferences and summer schools at a local boarding school during its summer vacation, and the algebraists and algebraic geometers in Norway had already organized such summer schools for a number of years. In 2002 a joint project with the algebraic topologists was proposed.
Morphological Models of Random Structures
This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate). The introduced models concern many physical situations in heterogeneous media, where a probabilistic approach is required, like fracture statistics of materials, scaling up of permeability in porous media, electron microscopy images (including multispectral images), rough surfaces, multi-component composites, biological tissues, textures for image coding and synthesis. The common feature of these random structures is their domain of definition in n dimensions, requiring more general models than standard Stochastic Processes.The main topics of the book cover an introduction to the theory of random sets, random space tessellations, Boolean random sets and functions, space-time random sets and functions (Dead Leaves, Sequential Alternate models, Reaction-Diffusion), prediction of effective properties of random media, and probabilistic fracture theories.
Molecular Beams in Physics and Chemistry : From Otto Stern's Pioneering Exploits to Present-Day Feats
This book gives a comprehensive account of both the history and current achievements of molecular beam research. In 1919, Otto Stern launched the revolutionary molecular beam technique. This technique made it possible to send atoms and molecules with well-defined momentum through vacuum and to measure with high accuracy the deflections they underwent when acted upon by transversal forces. These measurements revealed unforeseen quantum properties of nuclei, atoms, and molecules that became the basis for our current understanding of quantum matter. This volume shows that many key areas of modern physics and chemistry owe their beginnings to the seminal molecular beam work of Otto Stern and his school. Written by internationally recognized experts, the contributions in this volume will help experienced researchers and incoming graduate students alike to keep abreast of current developments in molecular beam research as well as to appreciate the history and evolution of this powerful method and the knowledge it reveals.
Modern luminescence spectroscopy of minerals and materials
Luminescence Spectroscopy of Minerals and Materials presents an overview of the general concepts in luminescence spectroscopy as well as experimental methods and their interpretation. Special emphasis is laid on the fluorescence lifetime and the determination of time-resolved spectra. This method enables the exposure of new luminescence in minerals previously hidden by more intensive centers. Specialists in the fields of solid state physics, chemistry and spectroscopy will find a wealth of new information in this unique book.
Modellistica numerica per problemi differenziali = Numerical modeling for differential problems
This text introduces the basic concepts for the numerical modeling of partial differential problems. We consider the classic elliptic, parabolic and hyperbolic linear equations, but also other equations, such as those of diffusion and transport, of Navier-Stokes, and the conservation laws, and we provide numerous physical examples underlying these equations. Then we analyze numerical resolution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods. In particular, the algorithmic and computer implementation aspects are discussed and various easy-to-use programs are provided.
Modellistica Numerica per Problemi Differenziali = Numerical Modeling for Differential Problems
This text introduces the fundamental concepts for the numerical modeling of partial differential problems. We consider the classic linear elliptic, parabolic and hyperbolic equations, but also other equations, such as those of diffusion and transport, of Navier-Stokes, and the conservation laws. Numerous physical examples underlying these equations are provided, their main mathematical properties are studied, then numerical resolution methods based on finite elements, finite differences, finite volumes and spectral methods are proposed and analyzed. In particular, the algorithmic and computer implementation aspects are discussed and some easy-to-use programs in C ++ language are provided. The text does not presuppose an advanced mathematical knowledge of partial differential equations: the strictly indispensable concepts in this regard are reported in the Appendix. The volume is therefore suitable for students of scientific degree courses (Engineering, Mathematics, Physics, Chemistry, Information Sciences) and recommended for researchers from the academic and extra-academic world who want to approach this interesting branch of applied mathematics.
Mid-infrared Semiconductor Optoelectronics
Mid-infrared Semiconductor Optoelectronics is an overview of the current status and technological development in this rapidly emerging area. It is composed of four parts. First, the basic physics and some of the main problems facing the design engineer (together with a comparison of possible solutions) are laid out. Next, there is a consideration of the multifarious lasers used as sources for mid-infrared technology, including an inspection of current approaches to the lack of such a source in the 3–4 µm region. Part III reviews recent work in light-emitting diodes and detectors and also deals with negative luminescence. The final part of the book is concerned with applications and highlights, once more, the diversity and technological importance of the mid-infrared spectral region.
Methods of Celestial Mechanics ; Vol. II : Application to Planetary System, Geodynamics and Satellite Geodesy
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. Volume II is devoted to the applications and to the presentation of the program system CelestialMechanics. Three major areas of applications are covered: (1) Orbital and rotational motion of extended celestial bodies. The properties of the Earth-Moon system are developed from the simplest case (rigid bodies) to more general cases, including the rotation of an elastic Earth, the rotation of an Earth partly covered by oceans and surrounded by an atmosphere, and the rotation of an Earth composed of a liquid core and a rigid shell (Poincaré model). (2) Artificial Earth Satellites. The oblateness perturbation acting on a satellite and the exploitation of its properties in practice is discussed using simulation methods (CelestialMechanics) and (simplified) first order perturbation methods. The perturbations due to the higher-order terms of the Earth's gravitational potential and resonant perturbations are considered thereafter. Special attention is paid to satellites of the Global Navigation Satellite Systems and to geostationary satellites. The characteristics of and models for the two most important non-gravitational forces, atmospheric drag and radiation pressure, are presented as well as the most relevant forces acting on high- and low-orbiting satellites. (3) Evolution of the Planetary System. The outer planetary system consisting of the planets Jupiter to Pluto is studied over long time intervals using simulation methods and spectral analysis (CelestialMechanics). The properties of the inner systems, in particular of the Earth's orbit, are made visible by integrating the entire system over long time intervals relevant for climate change. The distribution of minor planets and their orbital properties, regular orbits, and chaotic orbits are easily generated and analyzed using CelestialMechanics. The volume concludes with the discussion of important mathematical tools of the program system and of the principles of spectral analysis.
Méthodes mathématiques en chimie quantique : Une introduction = Mathematical methods in quantum chemistry : An introduction
This book presents the mathematical foundations of several models of quantum chemistry. It is intended for graduate students in mathematics (and possibly also for scientists from physics or chemistry interested in understanding the formal underpinnings of their models), and introduces techniques and methods from several mathematical fields, in particular variational techniques, nonlinear analysis, spectral theory and partial differential equations theory.
Mediterranean Land-surface Processes Assessed from Space
1. 1 Space View and Ground Observations 1 1. 2 Mediterranean Climatic Environment 2 1. 3 Processes at Surfaces 10 1. 3. 1 Deforestation and Land-use Changes 10 1. 3. 2 Water Related Problems 16 1. 3. 3 Fire, Grazing, and Land Degradation 19 1. 3. 4 Drought, Floods, Frost, and Desertification 21 1. 3. 5 Coupling Between Surface and Atmosphere: The Role of the Atmospheric Boundary Layer 25 1. 4 Role and Capabilities of Measurements Made From Space 30 1. 4. 1 Research Programmes 30 1. 4. 2 Expected Information 32 1. 4. 3 Research Strategy 33 1. 4. 4 Observation of Changes in Heterogeneous Landscapes: Spatial and Temporal Scales 35 1. 4. 5 Land-surface Change Indicators Observable from Space 36 Spectral Characteristics of Vegetation and Soils (36); Responses of Remote Sensing Signals to Changes of Land-surface Properties (40) 1. 5 About this Book 48 Chapter 2 Processing and Archiving of Satellite and Ancillary Data 51 2. 1 Introduction 51 2. 2 The Remote Sensing Data Base 55 2. 2. 1 Satellite Instruments 55 The NOAA Observing System (55); Meteosat (57); Nimbus-7 (59); Landsat (59); SPOT (61); DMSP (62); ERS-1 and ERS-2 (62); TRMM (63); Terra (64); Envisat (65); Aqua (66) 2. 2. 2 Aircraft Instruments 66 The Use of Aircraft for Land-surface Process Studies (66); AVIRIS (67); TMS (68); AIRSAR (68); DIAL (69) 2. 3 Reception, Acquisition and Availability of Satellite Data 70 2. 3.
Measure, Integration & Real Analysis
This book welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results.
