Analytical Bethe ansatz for a A2n-1(2), Bn(1), Cn(1), Dn(1)quantum-algebra-invariant open spin chains

1995/04/18 by Simone Artz, Luca Mezincescu, Rafael I. Nepomechie · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bethe ansatz #Combinatorics #Eigenvalues and eigenvectors #Integrable system #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #hep-th

paper · pdf · doi:10.1088/0305-4470/28/18/006

published as J.Phys. A28 (1995) 5131-5142 · 14 pages, latex, no figures (a character causing latex problem is removed)

arxiv created 1995/04/18 · openalex publication_date 1995/09/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We determine the eigenvalues of the transfer matrices for integrable open quantum spin chains which are associated with the affine Lie algebras A 2n-1 (2) , B n (1) , C n (1) , D n (1) , and which have the quantum-algebra invariance U q (C n ), U q (B n ), U q (C n ), U q (D n ), respectively.

Citations

• The inverse scattering method approach to the quantum Shabat-Mikhailov model
• QUANTUM ALGEBRA STRUCTURE OF EXACTLY SOLUBLE QUANTUM SPIN CHAINS
• Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
• The Highest Weight Property for the SU_q(n) Invariant Spin Chains
• Boundary conditions for integrable quantum systems

Cited by

• The open XXX spin chain in the SoV framework: scalar product of separate states
• Bethe ansatz equations and exact S matrices for the osp(M|2n) open super-spin chain
• Classification of reflection matrices related to (super-)Yangians and application to open spin chain models