Multiple Scattering In Solids
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Multiple Scattering In Solids
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Author : Antonios Gonis
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-12-28
Multiple Scattering In Solids written by Antonios Gonis 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 1999-12-28 with Science categories.
A description of general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. Intended for researchers and graduates involved in calculations of the electronic structure of materials, this will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state. The authors then present a variational derivation of the formalism and an augmented version of the theory, concluding with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.
Multiple Scattering In Solids
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Author : Antonios Gonis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Multiple Scattering In Solids written by Antonios Gonis 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 2012-12-06 with Science categories.
The origins of multiple scattering theory (MST) can be traced back to Lord Rayleigh's publication of a paper treating the electrical resistivity of an ar ray of spheres, which appeared more than a century ago. At its most basic, MST provides a technique for solving a linear partial differential equa tion defined over a region of space by dividing space into nonoverlapping subregions, solving the differential equation for each of these subregions separately and then assembling these partial solutions into a global phys ical solution that is smooth and continuous over the entire region. This approach has given rise to a large and growing list of applications both in classical and quantum physics. Presently, the method is being applied to the study of membranes and colloids, to acoustics, to electromagnetics, and to the solution of the quantum-mechanical wave equation. It is with this latter application, in particular, with the solution of the SchrOdinger and the Dirac equations, that this book is primarily concerned. We will also demonstrate that it provides a convenient technique for solving the Poisson equation in solid materials. These differential equations are important in modern calculations of the electronic structure of solids. The application of MST to calculate the electronic structure of solid ma terials, which originated with Korringa's famous paper of 1947, provided an efficient technique for solving the one-electron Schrodinger equation.
Multiple Scattering Theory
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Author : Dr J. S. Faulkner
language : en
Publisher: Iph001
Release Date : 2018-12-27
Multiple Scattering Theory written by Dr J. S. Faulkner and has been published by Iph001 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-27 with Science categories.
In 1947, it was discovered that multiple scattering theory (MST) can be used to solve the Schröedinger equation for the stationary states of electrons in a solid. Written by experts in the field, J S Faulkner, G Malcolm Stocks and Yang Wang, this book collates the results of numerous studies in the field of MST and provides a comprehensive, systematic approach to it. For many scientists, students and engineers working with multiple scattering programmes, this will be a useful guide to help expand the existing knowledge of MST as well as understanding its future implications.
Multiple Scattering Theory Electronic Structure Of Solids
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Author : J. S. Faulkner
language : en
Publisher: Institute of Physics Publishing
Release Date : 2018-12-27
Multiple Scattering Theory Electronic Structure Of Solids written by J. S. Faulkner and has been published by Institute of Physics Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-27 with Science categories.
In 1947, it was discovered that multiple scattering theory (MST) can be used to solve the Schröedinger equation for the stationary states of electrons in a solid. Written by experts in the field, J S Faulkner, G Malcolm Stocks and Yang Wang, this book collates the results of numerous studies in the field of MST and provides a comprehensive, systematic approach to it. For many scientists, students and engineers working with multiple scattering programmes, this will be a useful guide to help expand the existing knowledge of MST as well as understanding its future implications.
Variational Principles And Methods In Theoretical Physics And Chemistry
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Author : Robert K. Nesbet
language : en
Publisher: Cambridge University Press
Release Date : 2002-11-14
Variational Principles And Methods In Theoretical Physics And Chemistry written by Robert K. Nesbet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-14 with Science categories.
This book brings together the essential ideas and methods behind applications of variational theory in theoretical physics and chemistry. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism. The text begins with an historical survey of familiar variational principles in classical mechanics and optimization theory, then proceeds to develop the variational principles and formalism behind current computational methodology for bound and continuum quantum states of interacting electrons in atoms, molecules, and condensed matter. It covers multiple-scattering theory, including a detailed presentation of contemporary methodology for electron-impact rotational and vibrational excitation of molecules. The book ends with an introduction to the variational theory of relativistic fields. Ideal for graduate students and researchers in any field that uses variational methodology, this book is particularly suitable as a backup reference for lecture courses in mathematical methods in physics and theoretical chemistry.
Scattering And Localization Of Classical Waves In Random Media
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Author : Ping Sheng
language : en
Publisher: World Scientific
Release Date : 1990
Scattering And Localization Of Classical Waves In Random Media written by Ping Sheng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
The past decade has witnessed breakthroughs in the understanding of the wave localization phenomena and its implications for wave multiple scattering in inhomogeneous media. This book brings together review articles written by noted researchers in this field in a tutorial manner so as to give the readers a coherent picture of its status. It would be valuable both as an up-to-date reference for active researchers as well as a readable source for students looking to gain an understanding of the latest results.
Energy Loss And Ion Ranges In Solids
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Author : Muradin Abubekirovich Kumakhov
language : en
Publisher: CRC Press
Release Date : 1981
Energy Loss And Ion Ranges In Solids written by Muradin Abubekirovich Kumakhov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.
Interaction Of Charged Particles With Solids And Surfaces
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Author : Alberto Gras-Martí
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Interaction Of Charged Particles With Solids And Surfaces written by Alberto Gras-Martí 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 2012-12-06 with Science categories.
Early in 1989, while most of us were gathered in the Mediterranean five-centuries-old city of Alacant, the idea of a school on stopping and particle penetration phenomena came to our minds. Later that year when discussing this plan with some of the participants in the 13th International Conference on Atomic Collisions in Solids in Aarhus, we were pleased to note that the proposal was warmly welcomed indeed by the community. An Advanced Study Institute on this or a related subject had not been organized in the last decade. Because of the progress made particularly in the interaction of high energy beams with matter, and the many applications which the general subject of the stopping of charged particles (ions and electrons) in matter enjoys, a Study Institute appeared a worthy enterprise. Even though several international conference series cover developments in these areas, they miss tutorial introductions to the field. The title chosen was Interaction of Charged Particles with Solids and Surfaces, and the objectives were stated as follows: "to cover theory and experiments, including selected applications and hot topics, of the stopping of charged particles (ions and electrons) in matter. The emphasis will be on outlining the areas where further effort is needed, and on specifying the basic needs in applications. Fundamental concepts will prevail over applications, and the character of the Institute as a school will be stressed. " The school was directed by Fernando Flores (Spain), Herbert M. Urbassek (Germany), Nestor R.
Multiple Scattering Theory For Spectroscopies
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Author : Didier Sébilleau
language : en
Publisher: Springer
Release Date : 2018-04-05
Multiple Scattering Theory For Spectroscopies written by Didier Sébilleau and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-05 with Science categories.
This edited book, based on material presented at the EU Spec Training School on Multiple Scattering Codes and the following MSNano Conference, is divided into two distinct parts. The first part, subtitled “basic knowledge”, provides the basics of the multiple scattering description in spectroscopies, enabling readers to understand the physics behind the various multiple scattering codes available for modelling spectroscopies. The second part, “extended knowledge”, presents “state- of-the-art” short chapters on specific subjects associated with improving of the actual description of spectroscopies within the multiple scattering formalism, such as inelastic processes, or precise examples of modelling.
Common Problems And Ideas Of Modern Physics Proceedings Of The 6th Winter School On Hadronic Physics
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Author : T Bressani
language : en
Publisher: World Scientific
Release Date : 1992-03-27
Common Problems And Ideas Of Modern Physics Proceedings Of The 6th Winter School On Hadronic Physics written by T Bressani and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-27 with categories.
The main goal of the School is to present to young physicists the major open problems in Hadronic Physics in the confinement region, and to show that they are closely linked to similar open problems in nuclear physics and condensed matter. New experimental facilities and techniques related to the solution of the above problems are reported in the proceedings.