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The Resource Mapping of Parent Hamiltonians : From Abelian and nonAbelian Quantum Hall States to Exact Models of Critical Spin Chains, by Martin Greiter, (electronic resource)
Mapping of Parent Hamiltonians : From Abelian and nonAbelian Quantum Hall States to Exact Models of Critical Spin Chains, by Martin Greiter, (electronic resource)
Resource Information
The item Mapping of Parent Hamiltonians : From Abelian and nonAbelian Quantum Hall States to Exact Models of Critical Spin Chains, by Martin Greiter, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Mapping of Parent Hamiltonians : From Abelian and nonAbelian Quantum Hall States to Exact Models of Critical Spin Chains, by Martin Greiter, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the HaldaneShastry model as the special case S=1/2. While spinons in the HaldaneShastry model obey abelian halffermi statistics, the spinons in the general model introduced here obey nonabelian 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 nonabelian statistics in the Pfaffian Hall state, and is understandable to every student with a graduate course in quantum mechanics
 Language
 eng
 Extent
 XIV, 194 p.
 Contents

 Introduction and summary
 Three models and a ground state
 From a Laughlin state to the HaldaneShastry 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 onedimensional lattices
 Angular momentum algebra
 Tensor decompositions of spin operators
 Isbn
 9783642243844
 Label
 Mapping of Parent Hamiltonians : From Abelian and nonAbelian Quantum Hall States to Exact Models of Critical Spin Chains
 Title
 Mapping of Parent Hamiltonians
 Title remainder
 From Abelian and nonAbelian Quantum Hall States to Exact Models of Critical Spin Chains
 Statement of responsibility
 by Martin Greiter
 Language
 eng
 Summary
 This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the HaldaneShastry model as the special case S=1/2. While spinons in the HaldaneShastry model obey abelian halffermi statistics, the spinons in the general model introduced here obey nonabelian 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 nonabelian statistics in the Pfaffian Hall state, and is understandable to every student with a graduate course in quantum mechanics
 http://library.link/vocab/creatorName
 Greiter, Martin
 Image bit depth
 0
 LC call number
 QC173.45173.458
 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 nonAbelian Quantum Hall States to Exact Models of Critical Spin Chains, by Martin Greiter, (electronic resource)
 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 HaldaneShastry 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 onedimensional 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
 10.1007/9783642243844
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642243844
 Label
 Mapping of Parent Hamiltonians : From Abelian and nonAbelian Quantum Hall States to Exact Models of Critical Spin Chains, by Martin Greiter, (electronic resource)
 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 HaldaneShastry 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 onedimensional 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
 10.1007/9783642243844
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642243844
Subject
 Condensed Matter Physics
 Electronic resources
 Mathematical Methods in Physics
 Mathematical Physics
 Mathematical Physics
 Mathematical physics
 Mathematical physics
 Physics
 Physics
 Physics
 Quantum Physics
 Quantum theory
 Quantum theory
 Statistical Physics, Dynamical Systems and Complexity
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