Sturmian functions for nonlocal interactions

Article

Sturmian functions for nonlocal interactions

Horáček, J.; Zejda, L.

Czech. J. Phys. 43(0), 1191-1201 (1993)

Abstract

The problem of calculation of Sturmian functions (positive energy Weinberg states) for nonlocal (exchange) interactions is considered. It is shown that the method of continued fractions proposed by Horáccaronek and Sasakawa makes the calculation of Sturmian eigenfunctions and eigenvalues feasible even for complicated nonlocal interactions. As an example Sturmian functions and Sturmian eigenvalues for the low energy electron-hydrogen scattering in the static exchange approximation are calculated. In addition a very general proof of convergence of the method of continued fractions is presented.

Institute authors

Horáček, Jiří

BibTeX

@article{UTF324,
  author        = {Horáček, J. and Zejda, L.},
  title         = {{Sturmian functions for nonlocal interactions}},
  journal       = {Czech. J. Phys.},
  volume        = {43},
  number        = {0},
  pages         = {1191-1201},
  year          = {1993},
  doi           = {10.1007/BF01590187},
  url           = {http://www.springerlink.com/content/j6147735267v4pv8/},
}