Eigenvectors of Open Bazhanov-Stroganov Quantum Chain

Eigenvectors of Open Bazhanov-Stroganov Quantum Chain

In this contribution we give an explicit formula for the eigenvectors of Hamiltonians of open Bazhanov-Stroganov quantum chain. The Hamiltonians of this quantum chain is defined by the generation polynomial An(λ) which is upper-left matrix element of monodromy matrix built from the cyclic L-operator...

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Дата:2006
Автор: Iorgov, N.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2006
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/146424
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Eigenvectors of Open Bazhanov-Stroganov Quantum Chain / N. Iorgov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1464242019-02-10T01:23:35Z Eigenvectors of Open Bazhanov-Stroganov Quantum Chain Iorgov, N. In this contribution we give an explicit formula for the eigenvectors of Hamiltonians of open Bazhanov-Stroganov quantum chain. The Hamiltonians of this quantum chain is defined by the generation polynomial An(λ) which is upper-left matrix element of monodromy matrix built from the cyclic L-operators. The formulas for the eigenvectors are derived using iterative procedure by Kharchev and Lebedev and given in terms of wp(s)-function which is a root of unity analogue of Γq-function. 2006 Article Eigenvectors of Open Bazhanov-Stroganov Quantum Chain / N. Iorgov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81R12; 81R50 http://dspace.nbuv.gov.ua/handle/123456789/146424 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description In this contribution we give an explicit formula for the eigenvectors of Hamiltonians of open Bazhanov-Stroganov quantum chain. The Hamiltonians of this quantum chain is defined by the generation polynomial An(λ) which is upper-left matrix element of monodromy matrix built from the cyclic L-operators. The formulas for the eigenvectors are derived using iterative procedure by Kharchev and Lebedev and given in terms of wp(s)-function which is a root of unity analogue of Γq-function.
format Article
author Iorgov, N.
spellingShingle Iorgov, N.
Eigenvectors of Open Bazhanov-Stroganov Quantum Chain
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Iorgov, N.
author_sort Iorgov, N.
title Eigenvectors of Open Bazhanov-Stroganov Quantum Chain
title_short Eigenvectors of Open Bazhanov-Stroganov Quantum Chain
title_full Eigenvectors of Open Bazhanov-Stroganov Quantum Chain
title_fullStr Eigenvectors of Open Bazhanov-Stroganov Quantum Chain
title_full_unstemmed Eigenvectors of Open Bazhanov-Stroganov Quantum Chain
title_sort eigenvectors of open bazhanov-stroganov quantum chain
publisher Інститут математики НАН України
publishDate 2006
url http://dspace.nbuv.gov.ua/handle/123456789/146424
citation_txt Eigenvectors of Open Bazhanov-Stroganov Quantum Chain / N. Iorgov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT iorgovn eigenvectorsofopenbazhanovstroganovquantumchain
first_indexed 2023-05-20T17:24:21Z
last_indexed 2023-05-20T17:24:21Z
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