Geodesic
Boundary Interactions for the Semi-Infinite $q$-Boson System and Hyperoctahedral Hall–Littlewood Polynomials
Symmetry, integrability and geometry: methods and applications, Tome 9 (2013) Cet article a éte moissonné depuis la source Math-Net.Ru

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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: Hall–Littlewood functions; $q$-bosons; boundary fields; hyperoctahedral symmetry. 
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     author = {Jan Felipe Van Diejen and Erdal Emsiz},
     title = {Boundary {Interactions} for the {Semi-Infinite} $q${-Boson} {System} and {Hyperoctahedral} {Hall{\textendash}Littlewood} {Polynomials}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a76/}
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Jan Felipe Van Diejen; Erdal Emsiz. Boundary Interactions for the Semi-Infinite $q$-Boson System and Hyperoctahedral Hall–Littlewood Polynomials. Symmetry, integrability and geometry: methods and applications, Tome 9 (2013). http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a76/

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