RT info:eu-repo/semantics/article T1 Hidden sl(2)-symmetry of the generalized Landau–Zener vibronic model A1 Nieto Calzada, Luis Miguel A1 Zarrinkamar, Saber K1 Vibronic model K1 Two-level system K1 Exceptional energy K1 Fourth-order differential equation K1 Hidden sl(2) symmetry K1 22 Física AB The one-dimensional harmonic vibronic model, which is a generalization of the so-called linear Landau–Zener model and appears in the form of coupled Schrödinger equations, is revisited. After decoupling the components, the resulting fourth-order equation is shown to have a hidden 𝑠𝑙(2) algebra. The so-called exceptional part of the spectrum is then expressed in a rather simple way. For completeness, the eigenfunctions are obtained via the Bethe ansatz approach directly in position space PB Elsevier SN 0003-4916 YR 2025 FD 2025 LK https://uvadoc.uva.es/handle/10324/78329 UL https://uvadoc.uva.es/handle/10324/78329 LA eng NO Annals of Physics, 2025, vol. 480, p. 170126 NO Producción Científica DS UVaDOC RD 18-dic-2025