Eigenvectors of open Bazhanov-Stroganov quantum chain

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.

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

References in corpus (1)

• Quantum relativistic Toda chain at root of unity: isospectrality, modified Q-operator and functional Bethe ansatz

Cited by in corpus (2)

• R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
• Relativistic Toda Chain with Boundary Interaction at Root of Unity