Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
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 st...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149369 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials / J.F. van Diejen, E. Emsiz // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862710109200711680 |
|---|---|
| author | van Diejen, J.F. Emsiz, E. |
| author_facet | van Diejen, J.F. Emsiz, E. |
| citation_txt | Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials / J.F. van Diejen, E. Emsiz // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T17:22:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149369 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:22:13Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | van Diejen, J.F. Emsiz, E. 2019-02-21T07:23:32Z 2019-02-21T07:23:32Z 2013 Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials / J.F. van Diejen, E. Emsiz // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 16 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33D52; 81T25; 81R50; 82B23 DOI: http://dx.doi.org/10.3842/SIGMA.2013.077 https://nasplib.isofts.kiev.ua/handle/123456789/149369 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. This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full
 collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html.
 We are grateful to Alexei Borodin and Ivan Corwin for helpful email exchanges and thank the
 referees for their constructive comments. This work was supported in part by the Fondo Nacional
 de Desarrollo Cient´ıfico y Tecnol´ogico (FONDECYT) Grants # 1130226 and # 11100315, and by
 the Anillo ACT56 ‘Reticulados y Simetr´ıas’ financed by the Comisi´on Nacional de Investigaci´on
 Cient´ıfica y Tecnol´ogica (CONICYT). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials Article published earlier |
| spellingShingle | Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials van Diejen, J.F. Emsiz, E. |
| title | Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials |
| title_full | Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials |
| title_fullStr | Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials |
| title_full_unstemmed | Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials |
| title_short | Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials |
| title_sort | boundary interactions for the semi-infinite q-boson system and hyperoctahedral hall-littlewood polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149369 |
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