Stationary State of Intergrable Systems in Matrix Product Form
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概要
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Proposed is a tnethod to construct a stationary state of one-dimensional integrable systems inthe form of prodtucts of matrices. This is a generalization of the so-called "nuatrix product ansatz(IVIPA)". The key idea is that the nuatrices are chosen to constitute the Zamolodchikov-Faddeevalgebra (ZF-algebra) for the R-matrix and the K-matrix, which are the solutions of the Yang-Baxter equation (YBE) and the reflection equation (RE). It is shown that a matrix product stategives a simultaneous stationary state of commuting operators which are expressed in terms ofthe R-matrices and the K-naatrices. As an exanaple, a soltttion f'or the isotropic Heisenberg spinchain with non-diagonal boundary fields is given. The connection to the conventional IVIPA isclarified. Applications to other naodels and the relationship to the algebraic Bethe ansatz (ABA)are also discussed.
- 社団法人日本物理学会の論文
- 1997-09-15
著者
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Sasamoto Tomohiro
Department Of Mathematics And Informatics Chiba University
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Sasamoto Tomohiro
Department Of Physics Graduate School Of Science University Of Tokyo
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