English

Three-potential formalism for the atomic three-body problem

Atomic Physics 2009-10-30 v2

Abstract

Based on a three-potential formalism we propose mathematically well-behaved Faddeev-type integral equations for the atomic three-body problem and descibe their solutions in Coulomb-Sturmian space representation. Although the system contains only long-range Coulomb interactions these equations allow us to reach solution by approximating only some auxiliary short-range type potentials. We outline the method for bound states and demonstrate its power in benchmark calculations. We can report a fast convergence in angular momentum channels.

Keywords

Cite

@article{arxiv.physics/9702001,
  title  = {Three-potential formalism for the atomic three-body problem},
  author = {Z. Papp},
  journal= {arXiv preprint arXiv:physics/9702001},
  year   = {2009}
}

Comments

considerably revised, 9 pages, revtex, 1 ps figure