Finite Element And Boundary Element Applications In Quantum Mechanics
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Finite Element And Boundary Element Applications In Quantum Mechanics
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Author : L. Ramdas Ram-Mohan
language : en
Publisher: Oxford University Press, USA
Release Date : 2002
Finite Element And Boundary Element Applications In Quantum Mechanics written by L. Ramdas Ram-Mohan and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book introduces the finite element and boundary element methods (FEM and BEM) for applications to quantum mechanical systems. A discretization of the action integral with finite elements, followed by application of variational principles, brings a very general approach to the solution of Schroedinger's equation for physical systems in arbitrary geometries with complex mixed boundary conditions. The variational approach is a common thread through the book and is used for the improvement of solutions to spectroscopic accuracy, to adaptively improve finite element meshs, to develop a time-dependent theory, and also to generate the solution of large sparse matrix eigenvalue problems. A thorough introduction to BEM is given using the modelling of surface plasmons, quantum electron waveguides, and quantum scattering as illustrative examples. The book should be useful to graduate students and researchers in basic quantum theory, quantum semiconductor modeling, computational physics, mathematics and chemistry
Optics And Its Applications
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Author : David Blaschke
language : en
Publisher: Springer Nature
Release Date : 2022-10-05
Optics And Its Applications written by David Blaschke and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-05 with Science categories.
This book features selected articles based on contributions presented at the 9th International Symposium on Optics and Its Applications (OPTICS-2022) in Yerevan-Ashtarak, Armenia. The annual OPTICS symposium brings together renowned experts from all over the world working in the fields of atomic optics, plasmonics, optics of nanostructures, as well as the optics of condensed matter, and provides a perfect setting for their discussions of the most recent developments in this area. The 9th iteration in this series, dedicated to the 80th birthday of Academician Eduard Kazaryan, focuses on topics dealing with the spectroscopy of real and artificial atoms, linear and nonlinear optical characteristics of quantum wells, and two-dimensional materials. The book highlights recent results of few-particle optical characteristics of artificial atoms in the framework of the exactly solvable Moshinsky model, as well as an electro-optical analog of the magneto-optical Faraday effect. In addition, a detailed study of the nucleation process, its characterization, as well as electronic and optical properties of graded composition quantum dots in the Stranski−Krastanov growth mode, is presented.
Handbook Of Nanostructured Materials And Nanotechnology Five Volume Set
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Author : Hari Singh Nalwa
language : en
Publisher: Academic Press
Release Date : 1999-10-29
Handbook Of Nanostructured Materials And Nanotechnology Five Volume Set written by Hari Singh Nalwa and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-29 with Science categories.
Nanostructured materials is one of the hottest and fastest growing areas in today's materials science field, along with the related field of solid state physics. Nanostructured materials and their based technologies have opened up exciting new possibilites for future applications in a number of areas including aerospace, automotive, x-ray technology, batteries, sensors, color imaging, printing, computer chips, medical implants, pharmacy, and cosmetics. The ability to change properties on the atomic level promises a revolution in many realms of science and technology. Thus, this book details the high level of activity and significant findings are available for those involved in research and development in the field. It also covers industrial findings and corporate support. This five-volume set summarizes fundamentals of nano-science in a comprehensive way. The contributors enlisted by the editor are at elite institutions worldwide. Key Features * Provides comprehensive coverage of the dominant technology of the 21st century * Written by 127 authors from 16 countries, making this truly international * First and only reference to cover all aspects of nanostructured materials and nanotechnology
Handbook Of Materials Modeling
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Author : Sidney Yip
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-17
Handbook Of Materials Modeling written by Sidney Yip and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-17 with Science categories.
The first reference of its kind in the rapidly emerging field of computational approachs to materials research, this is a compendium of perspective-providing and topical articles written to inform students and non-specialists of the current status and capabilities of modelling and simulation. From the standpoint of methodology, the development follows a multiscale approach with emphasis on electronic-structure, atomistic, and mesoscale methods, as well as mathematical analysis and rate processes. Basic models are treated across traditional disciplines, not only in the discussion of methods but also in chapters on crystal defects, microstructure, fluids, polymers and soft matter. Written by authors who are actively participating in the current development, this collection of 150 articles has the breadth and depth to be a major contributor toward defining the field of computational materials. In addition, there are 40 commentaries by highly respected researchers, presenting various views that should interest the future generations of the community. Subject Editors: Martin Bazant, MIT; Bruce Boghosian, Tufts University; Richard Catlow, Royal Institution; Long-Qing Chen, Pennsylvania State University; William Curtin, Brown University; Tomas Diaz de la Rubia, Lawrence Livermore National Laboratory; Nicolas Hadjiconstantinou, MIT; Mark F. Horstemeyer, Mississippi State University; Efthimios Kaxiras, Harvard University; L. Mahadevan, Harvard University; Dimitrios Maroudas, University of Massachusetts; Nicola Marzari, MIT; Horia Metiu, University of California Santa Barbara; Gregory C. Rutledge, MIT; David J. Srolovitz, Princeton University; Bernhardt L. Trout, MIT; Dieter Wolf, Argonne National Laboratory.
Geometric Mechanics And Symmetry
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Author : Darryl D. Holm
language : en
Publisher: Oxford University Press
Release Date : 2009-07-30
Geometric Mechanics And Symmetry written by Darryl D. Holm and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-30 with Mathematics categories.
A graduate level text based partly on lectures in geometry, mechanics, and symmetry given at Imperial College London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the subject.
Compound Semiconductors 2004
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Author : J.C. Woo
language : en
Publisher: CRC Press
Release Date : 2005-04-01
Compound Semiconductors 2004 written by J.C. Woo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-01 with Science categories.
Compound Semiconductors 2004 was the 31st Symposium in this distinguished international series, held at Hoam Convention Center of Seoul National University, Seoul, Korea from September 12 to September 16, 2004. It attracted over 180 submissions from leading scientists in academic and industrial research institutions, and remains a major forum for the compound semiconductor research community since the first one held in 1966 at Edinburgh, UK under the name of 'International Symposium on Gallium Arsenide and related Compounds'. These proceedings provide an international perspective on the latest research and an overview of recent, important developments in III-V compounds, II-VI compounds and IV-IV compounds. In the total of 106 papers, notable progress was reported in the development of zinc oxide and spintronics. Steady advances were seen in traditional topics such as III-V based electronic and optoelectronic devices, growth and processing, and characterization. Novel research trends were observed in quantum structures, such as quantum wires and dots, which are promising for future developments in nanotechnology. As the primary forum for research into these materials and their device applications the book is an essential reference for researchers working on compound semiconductors in semiconductor physics, device physics, materials science, chemistry and electronic and electrical engineering.
Multi Band Effective Mass Approximations
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Author : Matthias Ehrhardt
language : en
Publisher: Springer
Release Date : 2014-07-17
Multi Band Effective Mass Approximations written by Matthias Ehrhardt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-17 with Mathematics categories.
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.
Bands And Photons In Iii V Semiconductor Quantum Structures
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Author : Igor Vurgaftman
language : en
Publisher: Oxford University Press
Release Date : 2020-11-22
Bands And Photons In Iii V Semiconductor Quantum Structures written by Igor Vurgaftman and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-22 with Science categories.
Semiconductor quantum structures are at the core of many photonic devices such as lasers, photodetectors, solar cells etc. To appreciate why they are such a good fit to these devices, we must understand the basic features of their band structure and how they interact with incident light. Many books have taken on this task in the past, but their treatments tend either to pluck results from the literature and present them as received truths or to rely on unrealistically simple models. Bands and Photons in III-V Semiconductor Quantum Structures takes the reader from the very basics of III-V semiconductors (some preparation in quantum mechanics and electromagnetism is helpful) and shows how seemingly obscure results such as detailed forms of the Hamiltonian, optical transition strengths, and recombination mechanisms follow. The reader would not need to consult other references to fully understand the material, although a few handpicked sources are listed for those who would like to deepen their knowledge further. Connections to the properties of novel materials such as graphene and transition metal dichalcogenides are pointed out, to help prepare the reader for contributing at the forefront of research in those fields. The book also supplies a complete, up-to-date database of the band parameters that enter into the calculations, along with tables of optical constants and interpolation schemes for alloys. From these foundations, the book goes on to derive the characteristics of photonic semiconductor devices (with a focus on the mid-infrared) using the same principles of building all concepts from the ground up, explaining all derivations in detail, giving quantitative examples, and laying out dimensional arguments whenever they can help the reader's understanding.
Introduction To Monte Carlo Methods For Transport And Diffusion Equations
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Author : Bernard Lapeyre
language : en
Publisher: Oxford University Press, USA
Release Date : 2003
Introduction To Monte Carlo Methods For Transport And Diffusion Equations written by Bernard Lapeyre and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Language Arts & Disciplines categories.
This text is used by for the resolution of partial differential equations, trasnport equations, the Boltzmann equation and the parabolic equations of diffusion.
Introduction To Parallel Computing
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Author : Wesley Petersen
language : en
Publisher: OUP Oxford
Release Date : 2004-01-08
Introduction To Parallel Computing written by Wesley Petersen and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-08 with Computers categories.
In the last few years, courses on parallel computation have been developed and offered in many institutions in the UK, Europe and US as a recognition of the growing significance of this topic in mathematics and computer science. There is a clear need for texts that meet the needs of students and lecturers and this book, based on the author's lecture at ETH Zurich, is an ideal practical student guide to scientific computing on parallel computers working up from a hardware instruction level, to shared memory machines, and finally to distributed memory machines. Aimed at advanced undergraduate and graduate students in applied mathematics, computer science, and engineering, subjects covered include linear algebra, fast Fourier transform, and Monte-Carlo simulations, including examples in C and, in some cases, Fortran. This book is also ideal for practitioners and programmers.