166 citations
- Université de ToursFR468 papers
- Université d'OrléansFR393 papers
- Centre National de la Recherche ScientifiqueFR267 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR50 papers
- Idiap Research InstituteCH42 papers
- Far Eastern Federal UniversityRU38 papers
- Université de MontréalCA33 papers
- Centre de recherches mathématiquesCA26 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR19 papers
- Sorbonne UniversitéFR19 papers
- West University of TimişoaraRO19 papers
- Kyoto UniversityJP17 papers
8 papers · 2 filters
Why scalar products in the algebraic Bethe ansatz have determinant representation
S. Belliard, N. A. Slavnov
We show that the scalar products of on-shell and off-shell Bethe vectors in the algebra1ic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to t…
Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Pascal Baseilhac, Rodrigo A. Pimenta
An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the ge…
Scalar Products in Twisted XXX Spin Chain. Determinant Representation
Samuel Belliard, Nikita A. Slavnov
We consider XXX spin- Heisenberg chain with non-diagonal boundary conditions. We obtain a compact determinant representation for the scalar product of on-shell and off-shell B…
sigma models described through hypergeometric orthogonal polynomials
N. Crampe, A. M. Grundland
The main objective of this paper is to establish a new connection between the Hermitian rank-1 projector solutions of the Euclidean sigma model in two dimensions…
Truncation of the reflection algebra and the Hahn algebra
Nicolas Crampe, Eric Ragoucy, Luc Vinet +1
In the context of connections between algebras coming from quantum integrable systems and algebras associated to the orthogonal polynomials of the Askey scheme, we prove that the t…
On self-similar solutions of the vortex filament equation
O. Gamayun, O. Lisovyy
We study self-similar solutions of the binormal curvature flow which governs the evolution of vortex filaments and is equivalent to the Landau-Lifshitz equation. The corresponding…