Quantum many-body systems in one dimension

By: Zachary N C HaMaterial type: TextTextPublication details: Singapore: World Scientific Publications, [c1998]Description: 156 pISBN: 9789810222758LOC classification: QC 174.26.W
Contents:
1. Introduction 2. Heisenberg Spin Chain 3. The 1D Hubbard Model 4. Models with Inverse-Square Exchange 5. Strings in Long-Range Interaction Model 6. Elementary Excitations of t-J Model 7. Fractional Statistics in One-Dimension: View From An Exactly Solvable Model
Summary: The main theme of the book is the intimate connection between the two families of exactly solvable models: the inverse-square exchange (ISE) and the nearest-neighbor exchange (NNE) models. The latter are better known as the Bethe-Ansatz solvable models and include the Heisenberg spin chain, t–J models and Hubbard models. The former, the Calogero–Sutherland family of models, are simple to solve and contain essentially the same physics as the NNE family. The author introduces and discusses current topics, such as the Luttinger liquid concept, fractional statistics, and spin–charge separation, in the context of the explicit models. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Physics Rack No 10 QC 174.26.W (Browse shelf (Opens below)) Available Invoice no. IN 1296 ; Date: 31-12-2019 02351
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1. Introduction
2. Heisenberg Spin Chain
3. The 1D Hubbard Model
4. Models with Inverse-Square Exchange
5. Strings in Long-Range Interaction Model
6. Elementary Excitations of t-J Model
7. Fractional Statistics in One-Dimension: View From An Exactly Solvable Model

The main theme of the book is the intimate connection between the two families of exactly solvable models: the inverse-square exchange (ISE) and the nearest-neighbor exchange (NNE) models. The latter are better known as the Bethe-Ansatz solvable models and include the Heisenberg spin chain, t–J models and Hubbard models. The former, the Calogero–Sutherland family of models, are simple to solve and contain essentially the same physics as the NNE family. The author introduces and discusses current topics, such as the Luttinger liquid concept, fractional statistics, and spin–charge separation, in the context of the explicit models. --- summary provided by publisher

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