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.
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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 that have emerged during the last 5 – 10 years 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. Going beyond ordered matter and translationally invariant systems, 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.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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intercell potential, coupled radial differential equations, near field corrections, screened structure constants, spin spherical harmonics, scattering path operator, bounding sphere radius, electron scattering theory, partial norms, translational group, nearest neighbor direction, truncated potential, screening transformation, inward integration, scattering solutions, magnetic anisotropy energies, irregular solutions, reorientation transition, radial mesh, oblique lattice, radial amplitudes, magnetic configurations, magnetic domain walls, primitive vectors, electric transport Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Cambridge University Press, Clarendon Press, Kohn-Sham-Dirac Hamiltonian, Kohn-Sham Hamiltonian, Dover Publ, Numerische Mathematik, Position Fig, Relativistic Electron Theory, Relativistic Quantum Mechanics, Runge Kutta, Technical University, Methods of Mathematical Physics, Plenum Press, Solid State Physics, The Art of Scientific Computing, Theories of Capillary Action, Wigner Seitz New!
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intercell potential, coupled radial differential equations, near field corrections, screened structure constants, spin spherical harmonics, scattering path operator, bounding sphere radius, electron scattering theory, partial norms, translational group, nearest neighbor direction, truncated potential, screening transformation, inward integration, scattering solutions, magnetic anisotropy energies, irregular solutions, reorientation transition, radial mesh, oblique lattice, radial amplitudes, magnetic configurations, magnetic domain walls, primitive vectors, electric transport Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Cambridge University Press, Clarendon Press, Kohn-Sham-Dirac Hamiltonian, Kohn-Sham Hamiltonian, Dover Publ, Numerische Mathematik, Position Fig, Relativistic Electron Theory, Relativistic Quantum Mechanics, Runge Kutta, Technical University, Methods of Mathematical Physics, Plenum Press, Solid State Physics, The Art of Scientific Computing, Theories of Capillary Action, Wigner Seitz New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 31
books:
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- Numerical Recipes: The Art of Scientific Computing by William H. Press on page 64, page 79, and page 90
- Green Functions for Ordered and Disordered Systems (Studies in Mathematical Physics) by Antonios Gonis in Front Matter, page 43, and page 244
- Solid State Physics: Advances in Research and Applications, Vol. 32 by Henry Ehrenreich on page 274, page 291, and page 372
- Methods of Mathematical Physics (Cambridge Mathematical Library) by Harold Jeffreys on page 64, page 79, and page 90
- Introduction to Solid State Physics by Charles Kittel on page 274, and page 372
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