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Mapping of Parent Hamiltonians : From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains / by Martin Greiter.
Math/Physics/Astronomy Library QC1 .S797 v.4, v.36, v.38, v.43, v.46, v.50, v.55, v.66, v.70-v.71, v.81, v.87, v.95, v.109-v.110, v.115, v.142, v.148, v.149-v.159, v.161-v.173, v.175-v.180, v.182, v.184, v.196, v.203, v.207, v.212, v.217, v.220, v.230, v.233, v.235, v.237-v.238, v.244, v.247-v.249, v.252, v.254, v.256-v.259, v.261-v.266, v.268-v.270, v.272-v.282,
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LIBRA 537 Er36 v.31, v.40, v.44, v.47, v.49, v.53-v.54, v.58
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Van Pelt Library QC1 .S797 v.111, v.160, v.174, v.181, v.191-v.192, v.198, v.202, v.210, v.213-v.216, v.218-v.219, v.221-v.229, v.231-v.234, v.236-v.237, v.239-v.243, v.245-v.246, v.250-v.251, v.253, v.255
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Chemistry Library - Books QC1 .S797 v.64, v.66, v.87, v.107, v.132
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LIBRA QC1 .S797 v.37, v.39, v.41-v.42, v.45, v.48, v.51-v.52, v.56-v.57, v.59, v.62-v.65, v.67, v.69, v.72-v.80, v.82-v.86, v.88-v.108, v.112-v.114, v.116-v.126, v.128-v.130, v.132-v.141, v.143-v.147, v.183, v.185-v.190, v.193-v.195, v.197, v.199-v.201, v.204-v.206, v.208-v.209, v.211
Mixed Availability
- Format:
- Book
- Author/Creator:
- Greiter, Martin, Author.
- Series:
- Springer Tracts in Modern Physics, 0081-3869 ; 244
- Language:
- English
- Subjects (All):
- Quantum theory.
- Solid state physics.
- Statistical physics.
- Dynamics.
- Physics.
- Mathematical physics.
- Quantum Physics.
- Solid State Physics.
- Complex Systems.
- Mathematical Methods in Physics.
- Mathematical Physics.
- Statistical Physics and Dynamical Systems.
- Local Subjects:
- Quantum Physics.
- Solid State Physics.
- Complex Systems.
- Mathematical Methods in Physics.
- Mathematical Physics.
- Statistical Physics and Dynamical Systems.
- Physical Description:
- 1 online resource (XIV, 194 p.)
- Edition:
- 1st ed. 2011.
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
- Language Note:
- English
- 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.
- 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.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-642-24384-3
- OCLC:
- 768337287
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