rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: An
    title: Introduction to Integrable Techniques for One-Dimensional Quantum Systems
  name:
    name part: Franchini, Fabio.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 180 p. 17 illus., 11 illus. in color. online resource.
  abstract: This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture.
  table of contents: The XY Chain -- The Lieb-Liniger Model -- The Heisenberg chain -- The XXZ Chain -- Algebraic Bethe Ansatz -- A Asymptotic behavior of Toeplitz Determinants -- B Two-Dimensional Classical Integrable Systems -- C Field theory and finite size effects -- References.
  note: by Fabio Franchini.
  subject:
    topic: Physics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Mathematical physics
  subject:
    topic: Condensed matter
  subject:
    topic: Physics
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Mathematical Physics
  subject:
    topic: Condensed Matter Physics
  subject:
    topic: Algebraic Geometry
  classification: QC5.53
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Physics, 940
  identifier: 9783319484877
  identifier: http://dx.doi.org/10.1007/978-3-319-48487-7
  record info:
    record creation date: 170525
    record change date: 20170525182055.0
    record identifier: 978-3-319-48487-7