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L Vy Statistics And Laser Cooling

Author: François Bardou
Publisher: Cambridge University Press
ISBN: 9780521004220
Size: 28.76 MB
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A 2001 graduate-level book demonstrating the application of Lévy statistics to understand laser cooling of atoms.

Atoms In Electromagnetic Fields

Author: Claude Cohen-Tannoudji
Publisher: World Scientific
ISBN: 9812389423
Size: 12.97 MB
Format: PDF
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Papers written during the last 40 years by Claude Cohen-Tannoudji and his collaborators on various physical effects which can be observed on atoms interacting with electromagnetic fields.

Fractional Kinetics In Solids

Author: Vladimir Uchaikin
Publisher: World Scientific
ISBN: 9814449601
Size: 45.40 MB
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The standard (Markovian) transport model based on the Boltzmann equation cannot describe some non-equilibrium processes called anomalous that take place in many disordered solids. Causes of anomality lie in non-uniformly scaled (fractal) spatial heterogeneities, in which particle trajectories take cluster form. Furthermore, particles can be located in some domains of small sizes (traps) for a long time. Estimations show that path length and waiting time distributions are often characterized by heavy tails of the power law type. This behavior allows the introduction of time and space derivatives of fractional orders. Distinction of path length distribution from exponential is interpreted as a consequence of media fractality, and analogous property of waiting time distribution as a presence of memory. In this book, a novel approach using equations with derivatives of fractional orders is applied to describe anomalous transport and relaxation in disordered semiconductors, dielectrics and quantum dot systems. A relationship between the self-similarity of transport, the Levy stable limiting distributions and the kinetic equations with fractional derivatives is established. It is shown that unlike the well-known Scher–Montroll and Arkhipov–Rudenko models, which are in a sense alternatives to the normal transport model, fractional differential equations provide a unified mathematical framework for describing normal and dispersive transport. The fractional differential formalism allows the equations of bipolar transport to be written down and transport in distributed dispersion systems to be described. The relationship between fractional transport equations and the generalized limit theorem reveals the probabilistic aspects of the phenomenon in which a dispersive to Gaussian transport transition occurs in a time-of-flight experiment as the applied voltage is decreased and/or the sample thickness increased. Recent experiments devoted to studies of transport in quantum dot arrays are discussed in the framework of dispersive transport models. The memory phenomena in systems under consideration are discussed in the analysis of fractional equations. It is shown that the approach based on the anomalous transport models and the fractional kinetic equations may be very useful in some problems that involve nano-sized systems. These are photon counting statistics of blinking single quantum dot fluorescence, relaxation of current in colloidal quantum dot arrays, and some others. Contents:Statistical GroundsFractional Kinetics of Dispersive TransportTransient Processes in Disordered Semiconductor StructuresFractional Kinetics in Quantum Dots and WiresFractional Relaxation in DielectricsThe Scale Correspondence Principle Readership: Students and post-graduate students, engineers, applied mathematicians, material scientists and physicists, specialists in theory of solids, in mathematical modeling and numerical simulations of complex physical processes, and to all who wish to make themselves more familiar with fractional differentiation method. Keywords:Fractional Calculus;Anomalous Diffusion;Disordered Solids;Nanosystems

Fundamentals Of Photonics

Author: Bahaa E. A. Saleh
Publisher: Wiley-Interscience
ISBN:
Size: 70.34 MB
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Now in a new full-color edition, Fundamentals of Photonics, Second Edition is a self-contained and up-to-date introductory-level textbook that thoroughly surveys this rapidly expanding area of engineering and applied physics. Featuring a logical blend of theory and applications, coverage includes detailed accounts of the primary theories of light, including ray optics, wave optics, electromagnetic optics, and photon optics, as well as the interaction of photons and atoms, and semiconductor optics. Presented at increasing levels of complexity, preliminary sections build toward more advanced topics, such as Fourier optics and holography, guided-wave and fiber optics, semiconductor sources and detectors, electro-optic and acousto-optic devices, nonlinear optical devices, optical interconnects and switches, and optical fiber communications. Each of the twenty-two chapters of the first edition has been thoroughly updated. The Second Edition also features entirely new chapters on photonic-crystal optics (including multilayer and periodic media, waveguides, holey fibers, and resonators) and ultrafast optics (including femtosecond optical pulses, ultrafast nonlinear optics, and optical solitons). The chapters on optical interconnects and switches and optical fiber communications have been completely rewritten to accommodate current technology. Each chapter contains summaries, highlighted equations, exercises, problems, and selected reading lists. Examples of real systems are included to emphasize the concepts governing applications of current interest.

Computational Science Iccs 2004

Author: Marian Bubak
Publisher: Springer
ISBN: 9783540221296
Size: 78.84 MB
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The four-volume set LNCS 3036, LNCS 3037, LNCS 3038 and LNCS 3039 constitutes the refereed proceedings of the 4th International Conference on Computational Science, ICCS 2004, held in Kraków, Poland in June 2004. The four volumes present more than 550 reviewed contributed and invited papers of the main conference and its 30 workshops. The papers span the whole range of computational science, from foundational and methodological issues in computer science and algorithmic mathematics to advanced applications in virtually all sciences making use of computational techniques. The proceedings is a unique record of recent progress in the field.