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

POSTER

Abstract

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)

*This research has been supported by the Chemical Science, Geosciences and Biosciences Division, Office of Basic Energy Science, Office of Science, under Grant No. DE-FG02-02ER15283.

Authors

  • V.M. Chupryna

    • University of Tennessee, Knoxville

  • A.N. Saveliev

    • Ioffe Institute, St-Petersburg, Russia

  • S. Yu. Ovchinnikov

    • University of Tennessee, Knoxville

  • Joseph Macek

    • University of Tennessee / ORNL
    • University of Tennessee, Knoxville/Oak Ridge National Laboratory
    • University of Tennessee and Oak Ridge National Laboratory