We introduce new coherent states and use them to prove semi-classical
estimates for Schr\"odinger 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.Comment: 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 Physic
