Eigenvectors of Baxter-Bazhanov-Stroganov τ^{(2)}(t_q) model with fixed-spin boundary conditions

Abstract

The aim of this contribution is to give the explicit formulas for the eigenvectors of the transfer-matrix of Baxter-Bazhanov-Stroganov (BBS) model (N-state spin model) with fixed-spin boundary conditions. These formulas are obtained by a limiting procedure from the formulas for the eigenvectors of periodic BBS model. The latter formulas were derived in the framework of the Sklyanin's method of separation of variables. In the case of fixed-spin boundaries the corresponding T-Q Baxter equations for the functions of separated variables are solved explicitly. As a particular case we obtain the eigenvectors of the Hamiltonian of Ising-like Z_N quantum chain model.

arXiv comment14 pages, paper submitted to Proceedings of the International Workshop "Classical and Quantum Integrable Systems" (Dubna, January, 2007)

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• Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables
• Transfer matrix functional relations for the generalized tau_2(t_q) model
• Eigenfunctions of $GL(N,\RR)$ Toda chain: The Mellin-Barnes representation
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Cited by in corpus (3)

• Factorized finite-size Ising model spin matrix elements from Separation of Variables
• Identities in the Superintegrable Chiral Potts Model
• Some ground-state expectation values for the free parafermion Z(N) spin chain