Completeness of the Bethe Ansatz for an Open -Boson System with Integrable Boundary Interactions

被引：0

作者：

Felipe van Diejen, Jan ^{[1
]}

Emsiz, Erdal ^{[2
]}

Nahuel Zurrian, Ignacio ^{[2
]}

机构：

[1] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile

[2] Pontificia Univ Catolica Chile, Fac Matemat, Casilla 306,Correo 22, Santiago, Chile

来源：

ANNALES HENRI POINCARE | 2018年 / 19卷 / 05期

关键词：

GAS; ORTHOGONALITY; DIAGONALIZATION; QUANTIZATION; LAPLACIAN; MODEL;

D O I：

10.1007/s00023-018-0658-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We employ a discrete integral-reflection representation of the double affine Hecke algebra of type at the critical level , 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.

引用

页码：1349 / 1384

页数：36

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