2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219811We give a lower estimate of the gap of the first two eigenvalues of the Schrodinger operator in the case when the potential is strongly convex. In particular, if the Hessian of the potential is bounded from below by a positive constant, the gap has a lower bound independent of the dimension. We also estimate the gap when the potential is not necessarily convex.Published version of the 2003 article for the Proceedings in honor of Louis Nirenberg's 75th birthday, Hsinchu, Sept. 2000Differential GeometryAnalysis of PDEstext