2001/10/31 by Rafael I. Nepomechie · 121 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Anisotropy #Ansatz #Bethe ansatz #Boundary (topology) #Chain (unit) #Chemistry #Computer science #Eigenvalues and eigenvectors #Hierarchy #Law #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Waves and Solitons #Order (exchange) #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Root of unity #Spin (aerodynamics) #Transfer matrix #Truncation (statistics) #hep-th
paper · pdf · doi:10.1016/s0550-3213(01)00585-5
published in Nuclear Physics B 622(3), 615-632 (Elsevier BV) · 20 pages, LaTeX; amssymb, no figures; V3 contains Note Added giving coefficients c_{p,l}
openalex publication_date 2002/02/01 · arxiv created 2002/03/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the open XXZ quantum spin chain with nondiagonal boundary terms. For bulk anisotropy value η= i π/(p+1), p= 1, 2, ..., we propose an exact (p+1)-order functional relation for the transfer matrix, which implies Bethe-Ansatz-like equations for the corresponding eigenvalues. The key observation is that the fused spin-(p+1)/2 transfer matrix can be expressed in terms of a lower-spin transfer matrix, resulting in the truncation of the fusion hierarchy.