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9 papers · 1 filter
On Abelianity Lines in Elliptic -Algebras
Jean Avan, Luc Frappat, Eric Ragoucy
We present a systematic derivation of the abelianity conditions for the -deformed -algebras constructed from the elliptic quantum algebra $\mathcal{A}_{q,p}\big(\widehat{\mat…
Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
Luigi Cantini, Alexandr Garbali, Jan de Gier +1
We prove that the normalisation of the stationary state of the multi-species asymmetric simple exclusion process (mASEP) is a specialisation of a Koornwinder polynomial. As a corol…
Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases
Samuel Belliard, Rodrigo A. Pimenta
The spectral problem of the Heisenberg XXZ spin- chain on the segment is investigated within a modified algebraic Bethe ansatz framework. We consider in this work the…
The sl(N) twisted Yangian: bulk-boundary scattering & defects
Jean Avan, Anastasia Doikou, Nikos Karaiskos
We consider the sl(N) twisted Yangian quantum spin chain. In particular, we study the bulk and boundary scattering of the model via the solution of the Bethe ansatz equations in th…
Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
Samuel Belliard
The modified algebraic Bethe ansatz, introduced by Crampé and the author [8], is used to characterize the spectral problem of the Heisenberg XXZ spin- chain on the seg…
Inverse scattering at fixed energy for the multidimensional Newton equation in short range radial potentials
Alexandre Jollivet
We consider the inverse scattering problem at fixed and sufficiently large energy for the nonrelativistic and relativistic Newton equation in , , with a smooth and s…