Eigenvectors of open Bazhanov-Stroganov quantum chain

Details Eigenvectors of open Bazhanov-Stroganov quantum chain Eigenvectors of open Bazhanov-Stroganov quantum chain

2006-02-04

arxiv.org/abs/nlin/0602010v2

SIGMA 2 (2006), 019, 10 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2006.019

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.

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