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- W2034333304 abstract "We introduce an approximation scheme where the Bethe ansatz is applied to non-integrable systems: the many-body S matrix is approximated by a product of two-body S matrices. We call this method Bethe-ansatz approximation (BAA). We apply the BAA to the S =1 antiferromagnetic bilinear-biquadratic quantum spin chain. The model contains a parameter β , the ratio of the biquadratic coupling to the bilinear coupling. Except for β=-∞ , ±1, the system is non-integrable. Varying β , we performed BAA calculation of the ground-state energy as a function of the total magnetization. Comparison with the numerical diagonalization shows a considerable efficiency of the BAA up to medium or more particle density." @default.
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- W2034333304 date "1994-10-15" @default.
- W2034333304 modified "2023-09-27" @default.
- W2034333304 title "Bethe-Ansatz Approximation for the<i>S</i>=1 Antiferromagnetic Spin Chain" @default.
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- W2034333304 doi "https://doi.org/10.1143/jpsj.63.3598" @default.
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