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Title Electron scattering in solid matter : a theoretical and computational treatise / J. Zabloudil [and others] (eds.)
Published Berlin ; New York : Springer, [2005]
©2005
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Description 1 online resource (xv, 379 pages) : illustrations
Series Springer series in solid-state sciences, 0171-1873 ; 147
Springer series in solid-state sciences ; 147. 0171-1873
Contents Cover -- Title Page -- Foreword -- Table of Contents -- 1 Introduction -- References -- 2 Preliminary definitions -- 2.1 Real space vectors -- 2.2 Operators and representations -- 2.3 Simple lattices -- 2.4 "Parent" lattices -- 2.5 Reciprocal lattices -- 2.6 Brillouin zones -- 2.7 Translational groups -- 2.8 Complex lattices -- 2.9 Kohn-Sham Hamiltonians -- References -- 3 Multiple scattering -- 3.1 Resolvents & Green's functions -- 3.2 Superposition of individual potentials -- 3.3 The multiple scattering expansion and the scattering path operator -- 3.4 Non-relativistic angular momentum and partial wave representations -- 3.5 Relativistic formalism -- 3.6 "Scalar relativistic" formulations -- 3.7 Summary -- References -- 4 Shape functions -- 4.1 The construction of shape functions -- 4.2 Shape truncated potentials -- 4.3 Radial mesh and integrations -- References -- 5 Non-relativistic single-site scattering for spherically symmetric potentials -- 5.1 Direct numerical solution of the coupled radial differential equations -- 5.2 Single site Green's function -- References -- 6 Non-relativistic full potential single-site scattering -- 6.1 Schrödinger equation for a single scattering potential of arbitrary shape -- 6.2 Single site Green's function for a single scattering potential of arbitrary shape -- 6.3 Iterative perturbational approach for the coupled radial differential equations -- 6.4 Direct numerical solution of the coupled radial differential equations -- 6.5 Single-site t matrix -- References -- 7 Spin-polarized non-relativistic single-site scattering -- References -- 8 Relativistic single-site scattering for spherically symmetric potentials -- 8.1 Direct numerical solution of the coupled differential equations -- 8.2 Single site Green's function -- References -- 9 Relativistic full potential single-site scattering -- 9.1 Direct numerical solution of the coupled differential equations -- References -- 10 Spin-polarized relativistic single-site scattering for spherically symmetric potentials -- 10.1 Direct numerical solution of the coupled radial differential equations -- References -- 11 Spin-polarized relativistic full potential single-site scattering -- 11.1 Iterative perturbational (Lippmann-Schwinger-type) approach for relativistic spin-polarized full potential single-site scattering -- 11.2 Direct numerical solution of the coupled radial differential equations -- References -- 12 Scalar-relativistic single-site scattering for spherically symmetric potentials -- 12.1 Derivation of the scalar-relativistic differential equation -- 12.2 Numerical solution of the coupled radial differential equations -- Reference -- 13 Scalar-relativistic full potential single-site scattering -- 13.1 Derivation of the scalar-relativistic differential equation -- 13.2 Numerical solution of the coupled radial differential equations -- 14 Phase shifts and resonance energies -- 14.1 Non-spin-polarized approaches -- 14.2 Spin-polarized approaches -- References -- 15 Structure constants -- 15.1 Real space structure constants -- 15.2 Two-dimensional translational invariance -- 15.3 Three-dimensional translational invariance -- 15.4 Relativist
Summary "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."--Jacket
Bibliography Includes bibliographical references
Notes Print version record
Subject Electrons -- Scattering.
Solids -- Effect of radiation on.
Form Electronic book
Author Zabloudil, J. (Jan)
LC no. 2004109370
ISBN 9783540270010
3540270019
3540225242 (Cloth)
9783540225249 (Cloth)
6610346704
9786610346707