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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
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
Citation:
Nikolai Iorgov, “Eigenvectors of Open Bazhanov–Stroganov Quantum Chain”, SIGMA, 2 (2006), 019, 10 pp.
Linking options:
https://www.mathnet.ru/eng/sigma47 https://www.mathnet.ru/eng/sigma/v2/p19
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Abstract page: | 303 | Full-text PDF : | 57 | References: | 58 |
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