2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57716We develop the Darboux procedure for the case of the two-level system. In particular, it is demonstrated that one can construct the Darboux intertwining operator that does not violate the specific structure of the equations of the two-level system, transforming only one real potential into another real potential. We apply the obtained Darboux transformation to known exact solutions of the two-level system. Thus, we find three classes of new solutions for the two-level system and the corresponding new potentials that allow such solutions.10 pagesMathematical PhysicsQuantum Physics34A05; 34A30; 78A60; 81Q05; 81V80text