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The Recursion Method

Application to Many-Body Dynamics

  • Book
  • © 1994

Overview

Authors:
  1. V. S. Viswanath

    1. Department of Physics, The University of Rhode Island, Kingston, USA

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  2. Gerhard Müller

    1. Department of Physics, The University of Rhode Island, Kingston, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 23)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    Pages 1-10

  3. Linear Response and Equilibrium Dynamics

    Pages 11-16

  4. Liouvillian Representation

    Pages 17-31

  5. Hamiltonian Representation

    Pages 32-50

  6. Genetic Code of Spectral Densities

    Pages 51-63

  7. Recursion Method Illustrated

    Pages 64-75

  8. Universality Classes of Dynamical Behavior

    Pages 76-92

  9. Termination of Continued Fractions: Attempts at Damage Control

    Pages 93-108

  10. Reconstruction of Spectral Densities from Incomplete Continued Fractions

    Pages 109-135

  11. Transport of Spin Fluctuations at High Temperature

    Pages 136-182

  12. Quantum Spin Dynamics at Zero Temperature

    Pages 183-250

  13. Back Matter

    Pages 251-259
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Keywords

About this book

In this monograph the recursion method is presented as a method for the analysis of dynamical properties of quantum and classical many-body systems in thermal equilibrium. Such properties are probed by many different experimental techniques used in materials science. Several representations and formulations of the recursion method are described in detail and documented with numerous examples, ranging from elementary illustrations for tutorial purposes to realistic models of interest in current research in the areas of spin dynamics and low-dimensional magnetism. The performance of the recursion method is calibrated by exact results in a number of benchmark tests and compared with the performance of other calculational techniques. The book addresses graduate students and researchers.

Authors and Affiliations

  • Department of Physics, The University of Rhode Island, Kingston, USA

    V. S. Viswanath, Gerhard Müller

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