Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension 2nd ed. Edition

Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension 2nd ed. Edition book cover

Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension 2nd ed. Edition

Author(s): Daniel C Mattis

  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication Date: 1 Mar. 1993
  • Edition: 2nd ed.
  • Language: English
  • Print length: 984 pages
  • ISBN-10: 9810209754
  • ISBN-13: 9789810209759

Book Description

This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space ― such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe’s original paper on the Bethe ansatz ― can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.

Editorial Reviews

Review

“This volume is a thoroughly extended and updated version of the classic Mathematical physics in one dimension, by Lieb and Mattis … In short, this encyclopedic compendium will be of value to many researchers working in ‘exact results’.” Mathematical Reviews

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