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Mapping of Parent Hamiltonians - From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains (Hardcover, 2011) Loot Price: R4,446
Discovery Miles 44 460
Repayment Terms: R417 pm x 12*
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Mapping of Parent Hamiltonians - From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains...

Mapping of Parent Hamiltonians - From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains (Hardcover, 2011)

Martin Greiter

Series: Springer Tracts in Modern Physics, 244

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Loot Price R4,446 Discovery Miles 44 460 | Repayment Terms: R417 pm x 12*

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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.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Springer Tracts in Modern Physics, 244
Release date: December 2011
First published: 2011
Authors: Martin Greiter
Dimensions: 235 x 155 x 12mm (L x W x T)
Format: Hardcover
Pages: 194
Edition: 2011
ISBN-13: 978-3-642-24383-7
Categories: Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Physics > States of matter > General
Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
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LSN: 3-642-24383-5
Barcode: 9783642243837

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