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

[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.

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