Computation of Sturmian States for H$_2^+$-like Ions in a Scaled Coordinate Representation.*

Computing Sturmian states is an important step in calculations of cross-sections in atomic physics. The dynamical equations in a scaled representation include the two-center Coulomb potential, an isotropic harmonic oscillator potential, and a rotation operator [1]. We obtain Sturmian states using solutions of a singular 3-D homogeneous Fredholm integral equation of the second kind. Numerical results will be presented. \newline \newline [1] S.Yu. Ovchinnikov, G.N. Ogurtsov, J.H. Macek, Yu.S. Gordeev, Physics Reports, {\bf 389}, 119 (2004)