© 1987

The Recursion Method and Its Applications

Proceedings of the Conference, Imperial College, London, England September 13–14, 1984

  • Editors
  • D. G. Pettifor
  • D. L. Weaire
Conference proceedings

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 58)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Volker Heine
      Pages 2-7
  3. Asymptotic Behaviour

  4. Related Methods

    1. Front Matter
      Pages 71-71
    2. J. P. Gaspard, Ph. Lambin
      Pages 72-83
    3. A. MacKinnon
      Pages 84-90
  5. Solid State Applications

    1. Front Matter
      Pages 103-103
    2. M. W. Finnis, D. G. Pettifor
      Pages 120-131
  6. Lanczos Method Applications

    1. Front Matter
      Pages 139-139
    2. I. M. Barbour, N.-E. Behilil, P. E. Gibbs, G. Schierholz, M. Teper
      Pages 149-164

About these proceedings


This volume reviews recent advances in the development and application of the recursion method in computational solid state physics and elsewhere. It comprises the invited papers which were presented at a two-day conference at Imperial College, London during September 1984. The recursion method is based on the Lanczos algorithm for the tridiago­ nalisation of matrices, but it is much more than a straightforward numerical technique. It is widely regarded as the most elegant framework for a variety of calculations into which one may incorporate physical insights and a num­ ber of technical devices. The standard reference is Volume 35 of Solid State Physics, which contains all the early ideas of Heine, Haydock and others, upon which the method was established. The present volume provides the first review of subsequent developments. It also indicates where problems remain, or opinions differ, in the interpretation of the mathematical details or choice of practical techniques in applications. The field is still very li­ vely and much remains to be done, as the summary chapter clearly demonstra­ tes. We are grateful to the S. E. R. C. 's Collaborative Computational Project No. 9 on the electronic structure of solids and the Institute of Physics's Solid State Sub-committee for their sponsorship of the conference. We thank Angus MacKinnon for his help in conference organisation and Jacyntha Crawley for secretarial assistance. December 1984 David G. Pettifor Denis L. Weaire v Contents Part I Introduction Why Recur? By V.


Applications Hamiltonian Pet algorithms crystal development eigenvalue paper physics solid state physics solution structure

Bibliographic information

  • Book Title The Recursion Method and Its Applications
  • Book Subtitle Proceedings of the Conference, Imperial College, London, England September 13–14, 1984
  • Editors D.G. Pettifor
    D.L. Weaire
  • Series Title Springer Series in Solid-State Sciences
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-15173-9
  • Softcover ISBN 978-3-642-82446-3
  • eBook ISBN 978-3-642-82444-9
  • Series ISSN 0171-1873
  • Edition Number 1
  • Number of Pages VIII, 184
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Mathematical Methods in Physics
    Numerical and Computational Physics, Simulation
    Condensed Matter Physics
  • Buy this book on publisher's site