2003/08/31 by Patrick Dorey, Junji Suzuki, Roberto Tateo
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #hep-th
paper · pdf · doi:10.1088/0305-4470/37/6/006
published as J.Phys.A37:2047-2062,2004 · 18+1 pages, 4 figures, typo corrected, references added
arxiv created 2003/10/17 · openalex publication_date 2004/01/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study the Pöschl–Teller equation in complex domain and deduce infinite families of TQ and Bethe ansatz equations, classified by four integers. In all these models the form of T is very simple, while Q can be explicitly written in terms of the Heun function. At particular values there is an interesting interpretation in terms of finite lattice spin- XXZ quantum chain with (for free–free boundary conditions), or (for periodic boundary conditions). This result generalizes the findings of Fridkin, Stroganov and Zagier. We also discuss the continuous (field theory) limit of these systems in view of the so-called ODE/IM correspondence.