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Monte Carlo Methods in Quantum Problems

  • Malvin H. Kalos

Part of the NATO ASI Series book series (ASIC, volume 125)

Table of contents

  1. Front Matter
    Pages i-viii
  2. U. Helmbrecht, John G. Zabolitzky
    Pages 1-12
  3. Kevin E. Schmidt
    Pages 33-39
  4. L. Szybisz, John G. Zabolitzky
    Pages 41-46
  5. Jules W. Moskowitz, K. E. Schmidt
    Pages 59-70
  6. M. Parrinello, A. Rahman
    Pages 105-116
  7. Gianni Jacucci
    Pages 117-144
  8. A. Billoire
    Pages 235-251
  9. Back Matter
    Pages 287-291

About this book

Introduction

Monte Carlo methods have been a tool of theoretical and computational scientists for many years. In particular, the invention and percolation of the algorithm of Metropolis, Rosenbluth, Rosenbluth, Teller, and Teller sparked a rapid growth of applications to classical statistical mechanics. Although proposals for treatment of quantum systems had been made even earlier, only a few serious calculations had heen carried out. Ruch calculations are generally more consuming of computer resources than for classical systems and no universal algorithm had--or indeed has yet-- emerged. However, with advances in techniques and in sheer computing power, Monte Carlo methods have been used with considerable success in treating quantum fluids and crystals, simple models of nuclear matter, and few-body nuclei. Research at several institutions suggest that they may offer a new approach to quantum chemistry, one that is independent of basis ann yet capable of chemical accuracy. That. Monte Carlo methods can attain the very great precision needed is itself a remarkable achievement. More recently, new interest in such methods has arisen in two new a~as. Particle theorists, in particular K. Wilson, have drawn attention to the rich analogy between quantum field theoty and statistical mechanics and to the merits of Monte Carlo calculations for lattice gauge theories. This has become a rapidly growing sub-field. A related development is associated with lattice problems in quantum physics, particularly with models of solid state systems. The~ is much ferment in the calculation of various one-dimensional problems such as the'Hubbard model.

Keywords

chemical physics dynamics mechanics quantum physics

Editors and affiliations

  • Malvin H. Kalos
    • 1
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-6384-9
  • Copyright Information Springer Science+Business Media B.V. 1984
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-009-6386-3
  • Online ISBN 978-94-009-6384-9
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site
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