Eigenvectors of Open Bazhanov–Stroganov Quantum Chain
Symmetry, integrability and geometry: methods and applications, Tome 2 (2006)

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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.
Nikolai Iorgov. Eigenvectors of Open Bazhanov–Stroganov Quantum Chain. Symmetry, integrability and geometry: methods and applications, Tome 2 (2006). http://geodesic.mathdoc.fr/item/SIGMA_2006_2_a18/
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