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

Felipe van Diejen Jan; Emsiz Erdal; Nahuel Zurrian Ignacio

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

机译：具有可集成边界交互的开放式系统的Bethe Ansatz的完整性

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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.

机译：我们采用了临界水平的双缩影Hecke代数的离散积分 - 反射表示，以赋予开放有限Q-玻色子系统，并在晶格端部处于可积的边界相互作用。结果表明，Bethe Ansatz在麦克唐纳三参数超霉野蛮大厅 - 小屋多项式方面为通勤Quantum积分提供了完整的基础。

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《Annales Henri Poincare》 |2018年第5期|共36页
作者
Felipe van Diejen Jan; Emsiz Erdal; Nahuel Zurrian Ignacio;
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作者单位

Univ Talca Inst Matemat &

Fis Casilla 747 Talca Chile;

Pontificia Univ Catolica Chile Fac Matemat Casilla 306 Correo 22 Santiago Chile;

Pontificia Univ Catolica Chile Fac Matemat Casilla 306 Correo 22 Santiago Chile;

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正文语种 eng
中图分类理论物理学;
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2. Nested Bethe Ansatz for Spin Ladder Model with Open Boundary Conditions [J] . WU Jun-Fang, ZHANG Chun-Min, YUE Rui-Hong, 理论物理通讯（英文版） . 2005,第004期
3. Algebraic Bethe Ansatz Solution to CN Vertex Model with Open Boundary Conditions [J] . LIGuang-Liang, SHIKang-Jie, YUERui-Hong 理论物理通讯：英文版 . 2005,第001期
4. Algebraic Bethe Ansatz for the Osp(12) Model with Reflecting Boundaries [J] . YUE Rui-Hong, XIONG Chuan-Hua 理论物理通讯（英文版） . 2001,第007期
5. Completeness of the Bethe Ansatz for an Open -Boson System with Integrable Boundary Interactions [J] . Felipe van Diejen Jan, Emsiz Erdal, Nahuel Zurrian Ignacio Annales Henri Poincare . 2018,第5期

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

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