2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57168We introduce new coherent states and use them to prove semi-classical estimates for Schrödinger operators with regular potentials. This can be further applied to the Thomas-Fermi potential yielding a new proof of the Scott correction for molecules. This is the short version of a paper by the authors archived at math-ph/0208044.A misprint in definition of new coherent states corrected. To appear in Proceedings of the UAB 2002 Int'l Conference on Differential Equations and Mathematics PhysicsMathematical PhysicsSpectral Theory81Q20, 35P20text