Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions

Symmetry Integrability and Geometry-Methods and Applications

article

Jan Felipe van Diejen¹  Erdal Emsiz² 

[1] Instituto de Matemática y Física, Universidad de Talca;Pontificia Universidad Católica de Chile

关键词: q-bosons;    boundary interactions;    Hall–Littlewood functions;    hyperoctahedral symmetry;    Pieri formulas;    integrability;   

DOI  :  10.3842/SIGMA.2015.037

来源: National Academy of Science of Ukraine

【 摘 要 】

We provide explicit formulas for the quantum integrals of a semi-infinite $q$-boson system with boundary interactions. These operators and their commutativity are deduced from the Pieri formulas for a $q\to 0$ Hall-Littlewood type degeneration of the Macdonald-Koornwinder polynomials.

【 授权许可】

Unknown