This book describes general techniques for solving linear partial differentialequations by dividing space into regions to which the equations areindependently a... » 

This book describes general techniques for solving linear partial differentialequations by dividing space into regions to which the equations areindependently applied and then assembling a global solution from the partialones. It is intended for researchers and graduate students involved incalculations of the electronic structure of materials but will also be ofinterest to workers in quantum chemistry electron microscopy acousticsoptics and other fields. Multiple scattering theory is in essence anextension of Huygenss principle to quantum mechanics. In classical physics itwas introduced by Rayleigh to study propagation of heat and electricity ininhomogeneous media. In quantum theory it has been used to study a number ofdifferent phenomena including LEED spectra defects in crystalline anddisordered media transport phenomena photoemission spectroscopy andelectronicstructure calculations. The book begins with an intuitive approachto scattering theory and then turns to partial waves and a formal developmentof multiple scattering theory with applications to the solid state muffintinpotentials and spacefilling cells. The authors then present a variationalderivation of the formalism and an augmented version of the theory. Itconcludes with a discussion of the relativistic formalism and a discussion ofthe Poisson equation. Appendices discuss Greens functions sphericalfunctions Moller operators and the LippmannSchwinger equation irregularsolutions and singularities in Greens functions. TOCIntroduction. IntuitiveApproach to MST. SinglePotrntial Scattering. Formal Development of MST. MSTfor MuffinTin Potential. MST for SpaceFilling Cells. Augmented MST.Relativistic Formalism. The Poisson Equation. Appices. «