CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Completeness of the Bethe Ansatz for an Open $$\varvec{q}$$q-Boson System with Integrable Boundary Interactions
Autor/es:
EMSIZ, ERDAL; VAN DIEJEN, JAN FELIPE; ZURRIÁN, IGNACIO NAHUEL
Revista:
ANNALES HENRI POINCARE
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Lugar: BASEL; Año: 2018
ISSN:
1424-0637
Resumen:
We employ a discrete integral-reflection representation of the double affine Hecke algebra of type C∨C at the critical level q=1 , to endow the open finite q-boson system with integrable boundary interactions at the lattice ends. It is shown that the Bethe Ansatz entails a complete basis of eigenfunctions for the commuting quantum integrals in terms of Macdonald?s three-parameter hyperoctahedral Hall?Littlewood polynomials.
