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:
    title: Mapping of Parent Hamiltonians
    sub title: From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains
  name:
    name part: Greiter, Martin.
    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: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 194 p. online resource.
  abstract: This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the Haldane--Shastry model as the special case S=1/2. While spinons in the Haldane-Shastry model obey abelian half-fermi statistics, the spinons in the general model introduced here obey non-abelian statistics. This manifests itself through topological choices for the fractional momentum spacings. The general model is derived by mapping exact models of quantized Hall states onto spin chains. The book begins with pedagogical review of all the relevant models including the non-abelian statistics in the Pfaffian Hall state, and is understandable to every student with a graduate course in quantum mechanics.
  table of contents: Introduction and summary -- Three models and a ground state -- From a Laughlin state to the Haldane-Shastry model -- From a bosonic Pfaffian state to an S = 1 spin chain -- Generalization to arbitrary spin S -- Conclusions and unresolved issues -- Spherical coordinates -- Fourier sums for one-dimensional lattices -- Angular momentum algebra -- Tensor decompositions of spin operators.
  note: by Martin Greiter.
  subject:
    topic: Physics
  subject:
    topic: Mathematical physics
  subject:
    topic: Quantum physics
  subject:
    topic: Solid state physics
  subject:
    topic: Statistical physics
  subject:
    topic: Dynamical systems
  subject:
    topic: Physics
  subject:
    topic: Quantum Physics
  subject:
    topic: Solid State Physics
  subject:
    topic: Statistical Physics, Dynamical Systems and Complexity
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Mathematical Physics
  classification: QC173.96-174.52
  classification: 530.12
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Tracts in Modern Physics, 244
  identifier: 9783642243844
  identifier: http://dx.doi.org/10.1007/978-3-642-24384-4
  record info:
    record creation date: 111202
    record change date: 20151204173210.0
    record identifier: 978-3-642-24384-4