Multi Band Effective Mass Approximations

Author : Matthias Ehrhardt,Thomas Koprucki
Publisher : Springer
Page : 337 pages
File Size : 45,6 Mb
Release : 2014-07-17
Category : Mathematics
ISBN : 9783319014272

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Multi-Band Effective Mass Approximations by Matthias Ehrhardt,Thomas Koprucki Pdf

This book addresses several mathematical models from the most relevant class of kp-Schrödinger systems. Both mathematical models and state-of-the-art numerical methods for adequately solving the arising systems of differential equations are presented. The operational principle of modern semiconductor nano structures, such as quantum wells, quantum wires or quantum dots, relies on quantum mechanical effects. The goal of numerical simulations using quantum mechanical models in the development of semiconductor nano structures is threefold: First they are needed for a deeper understanding of experimental data and of the operational principle. Secondly, they allow us to predict and optimize in advance the qualitative and quantitative properties of new devices in order to minimize the number of prototypes needed. Semiconductor nano structures are embedded as an active region in semiconductor devices. Thirdly and finally, the results of quantum mechanical simulations of semiconductor nano structures can be used with upscaling methods to deliver parameters needed in semi-classical models for semiconductor devices, such as quantum well lasers. This book covers in detail all these three aspects using a variety of illustrative examples. Readers will gain detailed insights into the status of the multiband effective mass method for semiconductor nano structures. Both users of the kp method as well as advanced researchers who want to advance the kp method further will find helpful information on how to best work with this method and use it as a tool for characterizing the physical properties of semiconductor nano structures. The book is primarily intended for graduate and Ph.D. students in applied mathematics, mathematical physics and theoretical physics, as well as all those working in quantum mechanical research or the semiconductor / opto-electronic industry who are interested in new mathematical aspects.

Author : Christophe Jean Delerue,Michel Lannoo
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 49,5 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9783662089033

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Nanostructures by Christophe Jean Delerue,Michel Lannoo Pdf

Provides the theoretical background needed by physicists, engineers and students to simulate nano-devices, semiconductor quantum dots and molecular devices. It presents in a unified way the theoretical concepts, the more recent semi-empirical and ab initio methods, and their application to experiments. The topics include quantum confinement, dielectric and optical properties, non-radiative processes, defects and impurities, and quantum transport. This guidebook not only provides newcomers with an accessible overview (requiring only basic knowledge of quantum mechanics and solid-state physics) but also provides active researchers with practical simulation tools.

Author : Chihiro Hamaguchi
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 45,8 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783662046562

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Basic Semiconductor Physics by Chihiro Hamaguchi Pdf

A detailed description of the basic physics of semiconductors. All the important equations describing the properties of these materials are derived without the help of other textbooks. The reader is assumed to have only a basic command of mathematics and some elementary semiconductor physics. The text covers a wide range of important semiconductor phenomena, from the simple to the advanced.

Author : Carlo Cercignani,Ester Gabetta
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 41,5 Mb
Release : 2007-12-03
Category : Science
ISBN : 9780817645540

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Transport Phenomena and Kinetic Theory by Carlo Cercignani,Ester Gabetta Pdf

The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.

Author : Michael A Stroscio,Mitra Dutta
Publisher : World Scientific
Page : 244 pages
File Size : 55,6 Mb
Release : 2003-09-12
Category : Technology & Engineering
ISBN : 9789814486552

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Advanced Semiconductor Heterostructures: Novel Devices, Potential Device Applications And Basic Properties by Michael A Stroscio,Mitra Dutta Pdf

This volume provides valuable summaries on many aspects of advanced semiconductor heterostructures and highlights the great variety of semiconductor heterostructures that has emerged since their original conception. As exemplified by the chapters in this book, recent progress on advanced semiconductor heterostructures spans a truly remarkable range of scientific fields with an associated diversity of applications. Some of these applications will undoubtedly revolutionize critically important facets of modern technology. At the heart of these advances is the ability to design and control the properties of semiconductor devices on the nanoscale. As an example, the intersubband lasers discussed in this book have a broad range of previously unobtainable characteristics and associated applications as a result of the nanoscale dimensional control of the underlying semiconductor heterostructures. As this book illustrates, an astounding variety of heterostructures can be fabricated with current technology; the potentially widespread use of layered quantum dots fabricated with nanoscale precision in biological applications opens up exciting advances in medicine. In addition, many more excellent examples of the remarkable impact being made through the use of semiconductor heterostructures are given. The summaries in this volume provide timely insights into what we know now about selected areas of advanced semiconductor heterostructures and also provide foundations for further developments.

Author : Ming-Fu Li
Publisher : World Scientific
Page : 529 pages
File Size : 55,6 Mb
Release : 2011
Category : Technology & Engineering
ISBN : 9781848164062

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Selected Semiconductor Research by Ming-Fu Li Pdf

This book on solid state physics has been written with an emphasis on recent developments in quantum many-body physics approaches. It starts by covering the classical theory of solids and electrons and describes how this classical model has failed. The authors then present the quantum mechanical model of electrons in a lattice and they also discuss the theory of conductivity. Extensive reviews on the topic are provided in a compact manner so that any non-specialist can follow from the beginning.The authors cover the system of magnetism in a similar way and various problems in magnetic materials are discussed. The book also discusses the Ising chain, the Heisenberg model, the Kondo effect and superconductivity, amongst other relevant topics.In the final chapter, the authors present some works related to contemporary research topics, such as quantum entanglement in many-body systems and quantum simulations. They also include a short review of some of the possible applications of solid state quantum information in biological systems.

Author : Marius Grundmann
Publisher : Springer
Page : 989 pages
File Size : 46,5 Mb
Release : 2015-12-24
Category : Technology & Engineering
ISBN : 9783319238807

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The Physics of Semiconductors by Marius Grundmann Pdf

The 3rd edition of this successful textbook contains ample material for a comprehensive upper-level undergraduate or beginning graduate course, guiding readers to the point where they can choose a special topic and begin supervised research. The textbook provides a balance between essential aspects of solid-state and semiconductor physics, on the one hand, and the principles of various semiconductor devices and their applications in electronic and photonic devices, on the other. It highlights many practical aspects of semiconductors such as alloys, strain, heterostructures, nanostructures, that are necessary in modern semiconductor research but typically omitted in textbooks. Coverage also includes additional advanced topics, such as Bragg mirrors, resonators, polarized and magnetic semiconductors, nanowires, quantum dots, multi-junction solar cells, thin film transistors, carbon-based nanostructures and transparent conductive oxides. The text derives explicit formulas for many results to support better understanding of the topics. The Physics of Semiconductors requires little or no prior knowledge of solid-state physics and evolved from a highly regarded two-semester course. In the third edition several topics are extended and treated in more depth including surfaces, disordered materials, amorphous semiconductors, polarons, thermopower and noise. More than 1800 references guide the reader to historic and current literature including original and review papers and books.

Author : F García-Moliner,V R Velasco
Publisher : World Scientific
Page : 512 pages
File Size : 42,5 Mb
Release : 1992-06-08
Category : Science
ISBN : 9789814505901

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Theory of Single and Multiple Interfaces by F García-Moliner,V R Velasco Pdf

Based on a scattering theoretic approach which effectively constitutes an extension of the Dyson or Lippman-Schwinger theories, Green functions constitute the backbone of a matching analysis. This analysis is applied to a wide range of models, materials and physical problems, from electronic structure of semiconductor superlattices or phonons in metal superlattices to surface Brillouin scattering, piezoelectric surface waves or interface waves in viscoelastic fluids. Contents:Technical PreliminariesGeneral Form of the SGFM MethodMatching Analysis for Continuous SystemsMatching for a Discrete SystemSGFM for Coupled InterfacesThe Geometry of the Matching SurfaceThe Full Transfer Matrix and SGFM for Continuous MediaTransfer Matrix and SGFM for Discrete MediaA Miscellany of Problems Related to MatchingA Matching with Envelop Function Model HamiltoniansReferencesIndex Readership: Condensed matter physicists. keywords:Green Function Methods;Surfaces;Interfaces;Superlattices;Quantum Wells;Elastic Waves;Phonons;Electronic Properties

Author : Vladimir I. Gavrilenko
Publisher : Pan Stanford Publishing
Page : 367 pages
File Size : 48,7 Mb
Release : 2011
Category : Science
ISBN : 9789814241090

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Optics of Nanomaterials by Vladimir I. Gavrilenko Pdf

Demonstrates that there is much to be learned about the optics of nanomaterials. Through comparative analysis of the size-dependent optical response from nanomaterials, this shows that although strides have been made in computational chemistry and physics, bridging length scales from nano to macro remains a major challenge.

Author : John P. Loehr
Publisher : Springer Science & Business Media
Page : 261 pages
File Size : 46,8 Mb
Release : 2013-11-27
Category : Science
ISBN : 9781461556732

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Physics of Strained Quantum Well Lasers by John P. Loehr Pdf

When this publisher offered me the opportunity to \\Tite a book, some six years ago, I did not hesitate to say yes. I had just spent the last four years of graduate school struggling to understand the physics of strained quantum well lasers, and it seemed to me the whole experience was much more difficult that it should have been. For although many of the results I needed were easy to locate, the underlying physical premises and intervening steps were not. If only I had a book providing the derivations, I could have absorbed them and gone on my way. Such a book lies before you. It provides a unified and self-contained descrip tion of the essential physics of strained quantum well lasers, starting from first principles whenever feasible. The presentation I have chosen requires only the standard introductory background in quantum mechanics, solid state physics, and electromagnetics expected of entering graduate students in physics or elec trical engineering. A single undergraduate course in each of these subjects should be more than sufficient to follow the text. :'Iore advanced material on quantum mechanics is developed and collected in the first chapter. \Vhen pos sible, I have presented the results in a general setting and have later applied them to specific cases of interest. I find this the most satisfying way to ap proach the subject, and it has the additional benefit of solving many problems once and for all.

Author : Anonim
Publisher : Academic Press
Page : 384 pages
File Size : 41,6 Mb
Release : 1991-12-11
Category : Computers
ISBN : 0080577482

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Advances in Electronics and Electron Physics by Anonim Pdf

Advances in Electronics and Electron Physics

Author : M. Cahay
Publisher : Unknown
Page : 712 pages
File Size : 41,9 Mb
Release : 1999
Category : Science
ISBN : UOM:39015057617725

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Proceedings of the Fifth International Symposium on Quantum Confinement, Nanostructures by M. Cahay Pdf

Author : Alfio Borzi,Gabriele Ciaramella,Martin Sprengel
Publisher : SIAM
Page : 396 pages
File Size : 45,5 Mb
Release : 2017-07-06
Category : Technology & Engineering
ISBN : 9781611974836

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Formulation and Numerical Solution of Quantum Control Problems by Alfio Borzi,Gabriele Ciaramella,Martin Sprengel Pdf

This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schr?dinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose?Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods. ??

Author : Florin Adrian Radu,Kundan Kumar,Inga Berre,Jan Martin Nordbotten,Iuliu Sorin Pop
Publisher : Springer
Page : 1070 pages
File Size : 52,9 Mb
Release : 2019-01-05
Category : Computers
ISBN : 9783319964157

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Numerical Mathematics and Advanced Applications ENUMATH 2017 by Florin Adrian Radu,Kundan Kumar,Inga Berre,Jan Martin Nordbotten,Iuliu Sorin Pop Pdf

This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017. The conference was organized by the University of Bergen, Norway from September 25 to 29, 2017. Leading experts in the field presented the latest results and ideas in the designing, implementation, and analysis of numerical algorithms as well as their applications to relevant, societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications. These discussions are upheld at the highest level of international expertise. The first ENUMATH conference was held in Paris in 1995 with successive conferences being held at various locations across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), and Ankara (2015).

Author : Chang-Ock Lee,Xiao-Chuan Cai,David E. Keyes,Hyea Hyun Kim,Axel Klawonn,Eun-Jae Park,Olof B. Widlund
Publisher : Springer
Page : 415 pages
File Size : 49,7 Mb
Release : 2017-03-15
Category : Computers
ISBN : 9783319523897

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Domain Decomposition Methods in Science and Engineering XXIII by Chang-Ock Lee,Xiao-Chuan Cai,David E. Keyes,Hyea Hyun Kim,Axel Klawonn,Eun-Jae Park,Olof B. Widlund Pdf

This book is a collection of papers presented at the 23rd International Conference on Domain Decomposition Methods in Science and Engineering, held on Jeju Island, Korea on July 6-10, 2015. Domain decomposition methods solve boundary value problems by splitting them into smaller boundary value problems on subdomains and iterating to coordinate the solution between adjacent subdomains. Domain decomposition methods have considerable potential for a parallelization of the finite element methods, and serve a basis for distributed, parallel computations.