T - Q relation and exact solution for the XYZ chain with general nondiagonal boundary terms
نویسندگان
چکیده
We propose that the Baxter’s Q-operator for the quantum XYZ spin chain with open boundary conditions is given by the j → ∞ limit of the corresponding transfer matrix with spin-j (i.e., (2j + 1)-dimensional) auxiliary space. The associated T -Q relation is derived from the fusion hierarchy of the model. We use this relation to determine the Bethe Ansatz solution of the eigenvalues of the fundamental transfer matrix. The solution yields the complete spectrum of the Hamiltonian. PACS: 75.10.Pq, 04.20.Jb, 05.50.+q
منابع مشابه
Q-operator and T −Q relation from the fusion hierarchy
We propose that the Baxter Q-operator for the spin-1/2 XXZ quantum spin chain is given by the j → ∞ limit of the transfer matrix with spin-j (i.e., (2j+1)-dimensional) auxiliary space. Applying this observation to the open chain with general (nondiagonal) integrable boundary terms, we obtain from the fusion hierarchy the T -Q relation for generic values (i.e. not roots of unity) of the bulk ani...
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