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

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→0 Hall-Littlewood type degeneration of the Macdonald-Koornwinder polynomials.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2015
Hauptverfasser: van Diejen, J.F., Emsiz, E.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2015
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/147014
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions / J.F. van Diejen, E. Emsiz // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 27 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author van Diejen, J.F.
Emsiz, E.
author_facet van Diejen, J.F.
Emsiz, E.
citation_txt Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions / J.F. van Diejen, E. Emsiz // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 27 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description 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→0 Hall-Littlewood type degeneration of the Macdonald-Koornwinder polynomials.
first_indexed 2025-12-02T10:58:08Z
format Article
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id nasplib_isofts_kiev_ua-123456789-147014
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-02T10:58:08Z
publishDate 2015
publisher Інститут математики НАН України
record_format dspace
spelling van Diejen, J.F.
Emsiz, E.
2019-02-12T20:35:33Z
2019-02-12T20:35:33Z
2015
Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions / J.F. van Diejen, E. Emsiz // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 27 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 33D52; 81R50; 81T25; 82B23
DOI:10.3842/SIGMA.2015.037
https://nasplib.isofts.kiev.ua/handle/123456789/147014
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→0 Hall-Littlewood type degeneration of the Macdonald-Koornwinder polynomials.
This paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of
 Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html.
 This work was supported in part by the Fondo Nacional de Desarrollo Cient´ıf ico y Tecnol´ogico
 (FONDECYT) Grants # 1130226 and # 1141114.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions
Article
published earlier
spellingShingle Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions
van Diejen, J.F.
Emsiz, E.
title Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions
title_full Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions
title_fullStr Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions
title_full_unstemmed Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions
title_short Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions
title_sort quantum integrals for a semi-infinite q-boson system with boundary interactions
url https://nasplib.isofts.kiev.ua/handle/123456789/147014
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