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Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
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- Фізико-технічні та математичні науки
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
Інший ID:
2010 Mathematics Subject Classification: 82B23; 81R12
DOI: http://dx.doi.org/10.3842/SIGMA.2013.072
DOI: http://dx.doi.org/10.3842/SIGMA.2013.072
Посилання:
Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz / S. Belliard, N. Crampé // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 39 назв. — англ.
Підтримка:
We would like to thank P. Baseilhac, V. Caudrelier, R.A. Pimenta and E. Ragoucy for discussions.
Дата:
2013
Переглядів:
451
Завантажень:
246
Анотація:
We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. The ansatz takes the usual form of a product of operators acting on a particular vector except that the number of operators is equal to the length of the chain. We prove this result for the chains with small length. We obtain also an off-shell equation (i.e. satisfied without the Bethe equations) formally similar to the ones obtained in the periodic case or with diagonal boundaries.
