Fefferman C., Seco L. A. The Eigenvalue Sum for a One-Dimensional Potential (178K, AMSTeX) ABSTRACT. We obtain a sharp WKB expansion for the sum of the negative eigenvalues of a Schr\"odinger operator in one dimension. This is part 4 in the saga of 7 papers devoted to the proof of the $Z^{5/3}$-term in the atomic energy asymptotics.