The Bethe ansatz as a matrix product ansatz

被引:32
|
作者
Alcaraz, FC [1 ]
Lazo, MJ [1 ]
机构
[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560590 Sao Paulo, Brazil
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 01期
关键词
D O I
10.1088/0305-4470/37/1/L01
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Bethe ansatz in its several formulations is a common tool for the exact solution of one-dimensional quantum Hamiltonians. This ansatz asserts that several eigenfunctions of the Hamiltonians are given in terms of a sum of permutations of plane waves. We present results that induce us to expect that, alternatively, the eigenfunctions of all the exact integrable quantum chains can also be expressed by a matrix product ansatz. In this ansatz several components of the eigenfunctions are obtained through the algebraic properties of properly defined matrices. This ansatz allows an unified formulation of several exact integrable Hamiltonians. We show how to formulate this ansatz for a large family of quantum chains such as the anisotropic Heisenberg model, Fateev-Zamolodchikov model, Izergin-Korepin model, Sutherland model, t-J model, Hubbard model, etc.
引用
收藏
页码:L1 / L7
页数:7
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