Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
Mathematical Physics
2013-12-05 v1 math.MP
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1312.1028,
title = {Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials},
author = {Jan Felipe van Diejen and Erdal Emsiz},
journal= {arXiv preprint arXiv:1312.1028},
year = {2013}
}