Relativistic Toda Chain with Boundary Interaction at Root of Unity

We apply the Separation of Variables method to obtain eigenvectors of commuting Hamiltonians in the quantum relativistic Toda chain at a root of unity with boundary interaction.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2007
Main Authors: Iorgov, N., Roubtsov, V., Shadura, V., Tykhyy, Y.
Format: Article
Language:English
Published: Інститут математики НАН України 2007
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147797
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Relativistic Toda Chain with Boundary Interaction at Root of Unity / N. Iorgov, V. Roubtsov, V. Shadura, Y. Tykhyy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-147797
record_format dspace
spelling Iorgov, N.
Roubtsov, V.
Shadura, V.
Tykhyy, Y.
2019-02-16T08:24:15Z
2019-02-16T08:24:15Z
2007
Relativistic Toda Chain with Boundary Interaction at Root of Unity / N. Iorgov, V. Roubtsov, V. Shadura, Y. Tykhyy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 20 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 81R12; 81R50
https://nasplib.isofts.kiev.ua/handle/123456789/147797
We apply the Separation of Variables method to obtain eigenvectors of commuting Hamiltonians in the quantum relativistic Toda chain at a root of unity with boundary interaction.
This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The research presented here is supported by the French–Ukrainian project “Dnipro” and the Ukrainian State Foundation for Fundamental Research. The work of V.S. was also partially supported by the SCOPES-project IB7320-110848 of Swiss NSF. V.R. warmly acknowledged a partial support of grants RFBR 06-02-17382 and NSh-8065.2006.2 as well as the ANR-2005 (“Geometry and Integrability in Mathematical Physics”) support.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Relativistic Toda Chain with Boundary Interaction at Root of Unity
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Relativistic Toda Chain with Boundary Interaction at Root of Unity
spellingShingle Relativistic Toda Chain with Boundary Interaction at Root of Unity
Iorgov, N.
Roubtsov, V.
Shadura, V.
Tykhyy, Y.
title_short Relativistic Toda Chain with Boundary Interaction at Root of Unity
title_full Relativistic Toda Chain with Boundary Interaction at Root of Unity
title_fullStr Relativistic Toda Chain with Boundary Interaction at Root of Unity
title_full_unstemmed Relativistic Toda Chain with Boundary Interaction at Root of Unity
title_sort relativistic toda chain with boundary interaction at root of unity
author Iorgov, N.
Roubtsov, V.
Shadura, V.
Tykhyy, Y.
author_facet Iorgov, N.
Roubtsov, V.
Shadura, V.
Tykhyy, Y.
publishDate 2007
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description We apply the Separation of Variables method to obtain eigenvectors of commuting Hamiltonians in the quantum relativistic Toda chain at a root of unity with boundary interaction.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/147797
citation_txt Relativistic Toda Chain with Boundary Interaction at Root of Unity / N. Iorgov, V. Roubtsov, V. Shadura, Y. Tykhyy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 20 назв. — англ.
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AT roubtsovv relativistictodachainwithboundaryinteractionatrootofunity
AT shadurav relativistictodachainwithboundaryinteractionatrootofunity
AT tykhyyy relativistictodachainwithboundaryinteractionatrootofunity
first_indexed 2025-12-07T15:31:54Z
last_indexed 2025-12-07T15:31:54Z
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