2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133054This paper has been withdrawn by the author in favor of a stronger result proven by the author with R. Frank and T. Weidl in arXiv:0707.0998This paper has been withdrawnSpectral TheoryMathematical Physics47B36, 81Q10, 35P15Critical Lieb-Thirring bounds for one-dimensional Schrodinger operators and Jacobi matrices with regular ground statestext