The Recursion Method

Application to Many-Body Dynamics

  • V. S. Viswanath
  • Gerhard Müller

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

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.


condensed matter physics continued-fraction analysis dynamic correlation functions electronic properties magnetism many-body dynamics materials science numerical method recursion method spin dynamics statistical mechanics

Authors and affiliations

  • V. S. Viswanath
    • 1
  • Gerhard Müller
    • 1
  1. 1.Department of PhysicsThe University of Rhode IslandKingstonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-58319-6
  • Online ISBN 978-3-540-48651-0
  • Series Print ISSN 0940-7677
  • Buy this book on publisher's site