Classical Many-Body Problems Amenable to Exact Treatments

(Solvable and/or Integrable and/or Linearizable...) in One-, Two- and Three-Dimensional Space

  • Francesco Calogero

Part of the Lecture Notes in Physics Monographs book series (LNPMGR, volume 66)

About this book


This book focuses on exactly treatable classical (i.e. non-quantal non-relativistic) many-body problems, as described by Newton's equation of motion for mutually interacting point particles. Most of the material is based on the author's research and is published here for the first time in book form. One of the main novelties is the treatment of problems in two- and three-dimensional space. Many related techniques are presented, e.g. the theory of generalized Lagrangian-type interpolation in higher-dimensional spaces.
This book is written for students as well as for researchers; it works out detailed examples before going on to treat more general cases. Many results are presented via exercises, with clear hints pointing to their solutions.


Dynamical System Hamiltonian Many-Body Problem Lax Pair Liouville Solvability geometry

Authors and affiliations

  • Francesco Calogero
    • 1
  1. 1.Department of PhysicsUniversity of Rome “La Sapienza”RomaItaly

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-41764-4
  • Online ISBN 978-3-540-44730-6
  • Series Print ISSN 0940-7677
  • Buy this book on publisher's site