Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 019, 10 pages      nlin.SI/0602010

Eigenvectors of Open Bazhanov-Stroganov Quantum Chain

Nikolai Iorgov
Bogolyubov Institute for Theoretical Physics, 14b Metrolohichna Str., Kyiv, 03143 Ukraine

Received November 29, 2005, in final form January 30, 2006; Published online February 04, 2006

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 An(λ) 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 wp(s)-function which is a root of unity analogue of Γq-function.

Key words: quantum integrable systems; Bazhanov-Stroganov quantum chain.

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