Jan Philip Solovej and Wolfgang L Spitzer New coherent states and a new proof of the Scott correction (48K, AMS-LaTeX 1.2) ABSTRACT. 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 the paper archived at mp_arc 02-357.