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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 077, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.077 (Mi sigma860) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

Jan Felipe Van Diejen, Erdal Emsiz

Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
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DOI: https://doi.org/10.3842/SIGMA.2013.077
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: Hall–Littlewood functions; $q$-bosons; boundary fields; hyperoctahedral symmetry.
Received: September 27, 2013; in final form November 26, 2013; Published online December 4, 2013
Bibliographic databases:
Document Type: Article
MSC: 33D52; 81T25; 81R50; 82B23
Language: English
Citation: Jan Felipe Van Diejen, Erdal Emsiz, “Boundary Interactions for the Semi-Infinite $q$-Boson System and Hyperoctahedral Hall–Littlewood Polynomials”, SIGMA, 9 (2013), 077, 12 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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