Multiple Scattering in Solids

  • Antonios Gonis
  • William H. Butler

Part of the Graduate Texts in Contemporary Physics book series (GTCP)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Antonios Gonis, William H. Butler
    Pages 1-5
  3. Antonios Gonis, William H. Butler
    Pages 6-17
  4. Antonios Gonis, William H. Butler
    Pages 18-54
  5. Antonios Gonis, William H. Butler
    Pages 55-79
  6. Antonios Gonis, William H. Butler
    Pages 80-121
  7. Antonios Gonis, William H. Butler
    Pages 122-160
  8. Antonios Gonis, William H. Butler
    Pages 161-184
  9. Antonios Gonis, William H. Butler
    Pages 185-202
  10. Antonios Gonis, William H. Butler
    Pages 203-225
  11. Back Matter
    Pages 226-285

About this book


The origins of multiple scattering theory (MST) can be traced back to Lord Rayleigh's publication of a paper treating the electrical resistivity of an ar­ ray of spheres, which appeared more than a century ago. At its most basic, MST provides a technique for solving a linear partial differential equa­ tion defined over a region of space by dividing space into nonoverlapping subregions, solving the differential equation for each of these subregions separately and then assembling these partial solutions into a global phys­ ical solution that is smooth and continuous over the entire region. This approach has given rise to a large and growing list of applications both in classical and quantum physics. Presently, the method is being applied to the study of membranes and colloids, to acoustics, to electromagnetics, and to the solution of the quantum-mechanical wave equation. It is with this latter application, in particular, with the solution of the SchrOdinger and the Dirac equations, that this book is primarily concerned. We will also demonstrate that it provides a convenient technique for solving the Poisson equation in solid materials. These differential equations are important in modern calculations of the electronic structure of solids. The application of MST to calculate the electronic structure of solid ma­ terials, which originated with Korringa's famous paper of 1947, provided an efficient technique for solving the one-electron Schrodinger equation.


Helmholtz equation Muliple scattering theory electricity electronic structure of materials mechanics muffin-tin potentials partial waves scattering theory space-filling cells

Authors and affiliations

  • Antonios Gonis
    • 1
  • William H. Butler
    • 2
  1. 1.Chemistry and Materials Science GroupLawrence Livermore LaboratoryLivermoreUSA
  2. 2.Metal and Ceramics DivisionOak Ridge National LaboratoryOak RidgeUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media New York 2000
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7080-5
  • Online ISBN 978-1-4612-1290-4
  • Series Print ISSN 0938-037X
  • Buy this book on publisher's site