Some results for the wave function at the origin for S-wave levels

Abstract

Starting with the $S$-wave radial equation for an attractive central potential $V(r)$, we give results for the $n$ (principal quantum number) and the $\mu$ (reduced mass) dependence of $R_{n0}(0)$, the $S$-wave radial wavefunction at the origin, for potentials with definite curvature.