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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 019, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.019
(Mi sigma47)
 

This article is cited in 8 scientific papers (total in 8 papers)

Eigenvectors of Open Bazhanov–Stroganov Quantum Chain

Nikolai Iorgov

Bogolyubov Institute for Theoretical Physics, 14b Metrolohichna Str., Kyiv, 03143 Ukraine
Full-text PDF (234 kB) Citations (8)
References:
Abstract: 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 $A_n(\lambda)$ 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 $w_p(s)$-function which is a root of unity analogue of $\Gamma_q$-function.
Keywords: quantum integrable systems; Bazhanov–Stroganov quantum chain.
Received: November 29, 2005; in final form January 30, 2006; Published online February 4, 2006
Bibliographic databases:
Document Type: Article
MSC: 81R12; 81R50
Language: English
Citation: Nikolai Iorgov, “Eigenvectors of Open Bazhanov–Stroganov Quantum Chain”, SIGMA, 2 (2006), 019, 10 pp.
Citation in format AMSBIB
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\by Nikolai Iorgov
\paper Eigenvectors of Open Bazhanov--Stroganov Quantum Chain
\jour SIGMA
\yr 2006
\vol 2
\papernumber 019
\totalpages 10
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  • This publication is cited in the following 8 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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