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

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.

References in corpus (5)

• Spectral theory for the q-Boson particle system
• Diagonalization of the infinite q-boson system
• Symmetric and nonsymmetric Hall-Littlewood polynomials of type BC
• The semi-infinite q-boson system with boundary interaction
• A discrete analogue of periodic delta Bose gas and affine Hecke algebra

Cited by in corpus (1)

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