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.
1. Introduction 2. Local Density Functional Theories 3. Schrodinger and Dirac Hamiltonians for a Central Field 4. Resolvents and Green Functions 5. Single-Site Scattering 6. Multiple Scattering 7. Multiple Scattering Theory for Disordered Systems--The Coherent Potential Approximation 8. Special Densities 9. Some Illustrations 10. Charge Self-Consistency and Total Energies 11. Applications of Multiple Scattering I: Band Structure Spectroscopy 12. Applications of Multiple Scattering II: Physical and Transport Properties Related to the Fermi Energy 13. Applications of Multiple Scattering III: Ferromagnetic Alloys and Finite Temperature Magnetism