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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 037, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.037 (Mi sigma1018) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

Jan Felipe van Diejena, Erdal Emsizb

a Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile
b Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
Full-text PDF (335 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2015.037
Abstract: 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.
Keywords: $q$-bosons; boundary interactions; Hall–Littlewood functions; hyperoctahedral symmetry; Pieri formulas; integrability.
Received: February 4, 2015; in final form April 30, 2015; Published online May 6, 2015
Bibliographic databases:
Document Type: Article
MSC: 33D52; 81R50; 81T25; 82B23
Language: English
Citation: Jan Felipe van Diejen, Erdal Emsiz, “Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions”, SIGMA, 11 (2015), 037, 9 pp.
Citation in format AMSBIB
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\by Jan~Felipe~van Diejen, Erdal~Emsiz
\paper Quantum Integrals for a~Semi-Infinite $q$-Boson System with Boundary Interactions
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\vol 11
\papernumber 037
\totalpages 9
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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