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Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz

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dc.contributor.author Belliard, S.
dc.contributor.author Crampé, N.
dc.date.accessioned 2019-02-21T07:21:35Z
dc.date.available 2019-02-21T07:21:35Z
dc.date.issued 2013
dc.identifier.citation 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. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 82B23; 81R12
dc.identifier.other DOI: http://dx.doi.org/10.3842/SIGMA.2013.072
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/149364
dc.description.abstract 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. uk_UA
dc.description.sponsorship We would like to thank P. Baseilhac, V. Caudrelier, R.A. Pimenta and E. Ragoucy for discussions. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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