2005/11/30 by Wen-Li Yang, Rafael I. Nepomechie, Yao-Zhong Zhang · 93 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bethe ansatz #Boundary (topology) #Combinatorics #Eigenvalues and eigenvectors #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Operator (biology) #Physics #Quantum many-body systems #Quantum mechanics #hep-th
paper · pdf · doi:10.1016/j.physletb.2005.12.022
published in Physics Letters B 633(4-5), 664-670 (Elsevier BV) · Latex file, 12 pages; V2, misprints corrected and references added
openalex publication_date 2005/12/20 · arxiv created 2006/03/08 · arxiv updated 2010/04/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 \it generic values (i.e. not roots of unity) of the bulk anisotropy parameter. We use this relation to determine the Bethe Ansatz solution of the eigenvalues of the fundamental transfer matrix. This approach is complementary to the one used recently to solve the same model for the roots of unity case.