1999/11/03 by M. T. Batchelor, Murray T. Batchelor, Jan de Gier +4 · 26 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Coupling (piping) #Geometry #Lie algebra #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum many-body systems #Spin (aerodynamics) #Symmetry (geometry) #Symplectic geometry #Symplectic group #Type (biology) #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/33/12/101
published in Journal of Physics A Mathematical and General 33(12), L97-L101 (Institute of Physics) · 7 pages, Latex
arxiv created 1999/11/03 · openalex publication_date 2000/03/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We extend the results of spin ladder models associated with the Lie algebras su (2 n ) to the case of the orthogonal and symplectic algebras o (2 n ), sp (2 n ) where n is the number of legs for the system. Two classes of models are found whose symmetry, either orthogonal or symplectic, has an explicit n dependence. Integrability of these models is shown for an arbitrary coupling of XX -type rung interactions and applied magnetic field term.