Multiple Scattering in Solids

Multiple Scattering in Solids

Author: Antonios Gonis

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 298

ISBN-13: 1461212901

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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 Theory

Multiple Scattering Theory

Author: J. S. Faulkner

Publisher:

Published: 2018

Total Pages: 0

ISBN-13: 9780750314893

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"In 1947, it was discovered that multiple scattering theory can be used to solve the Schrèodinger equation for the stationary states of electrons in a solid. Written by experts in the field, Dr. J S Faulkner, G M Stocks, and Yang Wang, this book collates the results of numerous studies in the field of multiple scattering theory and provides a comprehensive, systematic approach to MSTs." -- Prové de l'editor.


Multiple Scattering Theory: Electronic Structure of Solids

Multiple Scattering Theory: Electronic Structure of Solids

Author: J. S. Faulkner

Publisher: Institute of Physics Publishing

Published: 2018-12-27

Total Pages: 132

ISBN-13: 9780750318976

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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.


Electron Scattering in Solid Matter

Electron Scattering in Solid Matter

Author: Jan Zabloudil

Publisher: Springer Science & Business Media

Published: 2005-12-12

Total Pages: 386

ISBN-13: 3540270019

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Addressing graduate students and researchers, this book gives a very detailed theoretical and computational description of multiple scattering in solid matter. Particular emphasis is placed on solids with reduced dimensions, on full potential approaches and on relativistic treatments. For the first time approaches such as the screened Korringa-Kohn-Rostoker method are reviewed, considering all formal steps such as single-site scattering, structure constants and screening transformations, and also the numerical point of view. Furthermore, a very general approach is presented for solving the Poisson equation, needed within density functional theory in order to achieve self-consistency. Special chapters are devoted to the Coherent Potential Approximation and to the Embedded Cluster Method, used, for example, for describing nanostructured matter in real space. In a final chapter, physical properties related to the (single-particle) Green's function, such as magnetic anisotropies, interlayer exchange coupling, electric and magneto-optical transport and spin-waves, serve to illustrate the usefulness of the methods described.


Multiple Scattering

Multiple Scattering

Author: P. A. Martin

Publisher: Cambridge University Press

Published: 2006-08-03

Total Pages: 13

ISBN-13: 0521865549

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