Electron Scattering Theory for Ordered and Disordered Matter
This new text approaches the problem of the electronic structure of solid matter in terms of multiple scattering theory. It includes a short review of local density functional theories, taking the reader step-by-step through the properties of Schrodinger and Dirac Hamiltonians for a central field, and resolvents and Green functions. Ordered and disordered systems are considered, along with non-relativistic and relativistic schemes. Also discussed are the direct applications of multiple scattering to important aspects of materials science such as band structure spectography, Fermi energy related properties, and the present understanding of magnetic systems. An ideal resource for solid state physicists and materials scientists, this work may also serve as a text for graduate-level students.
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Local density functional theories
Schrddinger and Dirac Hamiltonians for a central field
11 other sections not shown
atom per unit band structure Bessel Bloch spectral functions Brillouin zone calculated cell Q Chapter charge density coefficients complex lattices corresponding CPA condition defined denotes density functional density functional theory density n(r diagonal Dirac discussed disordered systems effective eigenvalue electronic structure example exchange correlation experimental Fermi energy finite G+(e G+(r given Green function Gyorffy Hamiltonian integral irreducible representations Journal of Physics Kohn-Sham equations lattice relaxation rate Lippmann-Schwinger equation magnetization density matrix elements Metal Physics muffin-tin multiple scattering non-relativistic one-particle ordered system particular phase shift Physical Review Physics F properties radial amplitudes Redinger relativistic respect scattering amplitude scattering path operator Schadler Schrodinger equation self-consistently shown side of eqn simple lattice single-site approximation single-site scattering single-site t matrix site-diagonal scattering path spectroscopy spherical harmonics spin-polarized statistically disordered structure constants sublattice supermatrix symmetry temperature theoretical theory unit cell vector wavefunction wavevector Weinberger Wigner written
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