Scalar Products in Twisted XXX Spin Chain. Determinant Representation

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dc.contributor.authorBelliard, S.
dc.contributor.authorSlavnov, N.A.
dc.date.accessioned2025-12-04T13:03:39Z
dc.date.issued2019
dc.description.abstractWe consider the XXX spin-1/2 Heisenberg chain with non-diagonal boundary conditions. We obtain a compact determinant representation for the scalar product of on-shell and off-shell Bethe vectors. In the particular case when both Bethe vectors are on shell, we obtain a determinant representation for the norm of the on-shell Bethe vector and prove orthogonality of the on-shell vectors corresponding to the different eigenvalues of the transfer matrix.
dc.description.sponsorshipThe work was performed at the Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow. This work is supported by the Russian Science Foundation under grant 19-11-00062.
dc.identifier.citationScalar Products in Twisted XXX Spin Chain. Determinant Representation / S. Belliard, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 33 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.066
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 82B23; 81R50
dc.identifier.otherarXiv: 1906.06897
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210229
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleScalar Products in Twisted XXX Spin Chain. Determinant Representation
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік