Boundary Interactions for the Semi-Infinite q -Boson System and Hyperoctahedral Hall-Littlewood Polynomials

Symmetry Integrability and Geometry-Methods and Applications

article

Jan Felipe van Diejen¹  Erdal Emsiz¹ 

[1] Pontificia Universidad Católica de Chile

关键词: Hall–Littlewood functions;    q-bosons;    boundary fields;    hyperoctahedral symmetry;   

DOI  :  10.3842/SIGMA.2013.077

来源: National Academy of Science of Ukraine

【 摘 要 】

We present a semi-infinite q -boson system endowed with a four-parameter boundary interaction. The n -particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise as a degeneration of the Macdonald-Koornwinder polynomials and were recently studied in detail by Venkateswaran.

【 授权许可】

Unknown