2004/12/15 by V. Caudrelier, Vincent Caudrelier, Mihail Mintchev +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Computer science #Impurity #Integrable system #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum #Quantum mechanics #Reflection (computer programming) #Scattering #Telecommunications #Transmission (telecommunications) #Yang–Baxter equation #cond-mat.stat-mech #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1088/0305-4470/38/15/013
published as J.Phys. A38 (2005) 3431-3442 · LaTex, 15 pages
arxiv created 2004/12/15 · openalex publication_date 2005/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore the reflection–transmission quantum Yang–Baxter equations, arising in factorized scattering theory of integrable models with impurities. The physical origin of these equations is clarified and three general families of solutions are described in detail. Explicit representatives of each family are also displayed. These results allow us to establish, for the first time, a direct relationship with the different previous works on the subject and make evident the advantages of the reflection–transmission algebra as a universal approach to integrable systems with impurities.