2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58353A new and elementary proof of a recent result of Laptev and Weidl is given. It is a sharp Lieb-Thirring inequality for one dimensional Schroedinger operators with matrix valued potentials.Replaces the version of June 28, 1999. A technical error in the proof has been correctedMathematical Physics35P15;81Q10text