The Resource Mapping of Parent Hamiltonians : From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains, by Martin Greiter, (electronic resource)

Mapping of Parent Hamiltonians : From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains, by Martin Greiter, (electronic resource)

Label
Mapping of Parent Hamiltonians : From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains
Title
Mapping of Parent Hamiltonians
Title remainder
From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains
Statement of responsibility
by Martin Greiter
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Greiter, Martin
Image bit depth
0
LC call number
QC173.45-173.458
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Tracts in Modern Physics,
Series volume
244
http://library.link/vocab/subjectName
  • Physics
  • Quantum theory
  • Mathematical physics
  • Physics
  • Condensed Matter Physics
  • Quantum Physics
  • Statistical Physics, Dynamical Systems and Complexity
  • Mathematical Methods in Physics
  • Mathematical Physics
Label
Mapping of Parent Hamiltonians : From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains, by Martin Greiter, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
XIV, 194 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783642243844
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-24384-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-24384-4
Label
Mapping of Parent Hamiltonians : From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains, by Martin Greiter, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
XIV, 194 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783642243844
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-24384-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-24384-4

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