摘要 : In this paper we derive a trace formula for the Schrodinger operator on the half-line. As a consequence we obtain a Schmincke type inequality with sharp constant. The main tool in our investigation is the inverse spectral Gelfand-... 展开 In this paper we derive a trace formula for the Schrodinger operator on the half-line. As a consequence we obtain a Schmincke type inequality with sharp constant. The main tool in our investigation is the inverse spectral Gelfand-Levitan theory, which allows us to compare two Schrodinger operators whose spectra differ by few eigenvalues. 收起