Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions
[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.
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[关键词] q-bosons;boundary interactions;Hall–Littlewood functions;hyperoctahedral symmetry;Pieri formulas;integrability [时效性]
