2004/03/19 by J. Ambjørn, J. Ambjorn, Sh. Khachatryan +1 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Arithmetic #Chemistry #Computer science #Exponential function #Hamiltonian (control theory) #Integrable system #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Matrix model #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Notation #Physics #Pure mathematics #Transfer matrix #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1088/0305-4470/37/30/001
published as J.Phys. A37 (2004) 7397-7406 · 13 pages, 4 figures
arxiv created 2004/03/19 · openalex publication_date 2004/07/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We define an integrable lattice model which, in the notation of Yang, in addition to the conventional two-particle R -matrices also contains non-reducible three-particle R -matrices. The corresponding modified Yang--Baxter equations are solved, and an expression for the transfer matrix is found as a normal-ordered exponential of a (non-local) Hamiltonian.