English

Dual kinetic balance approach to basis set expansions for the Dirac equation

Atomic Physics 2009-11-10 v1 Atomic and Molecular Clusters

Abstract

A new approach to finite basis sets for the Dirac equation is developed. It solves the problem of spurious states and, as a result, improves the convergence properties of basis set calculations. The efficiency of the method is demonstrated for finite basis sets constructed from B splines by calculating the one-loop self-energy correction for a hydrogenlike ion.

Keywords

Cite

@article{arxiv.physics/0308083,
  title  = {Dual kinetic balance approach to basis set expansions for the Dirac equation},
  author = {V. M. Shabaev and I. I. Tupitsyn and V. A. Yerokhin and G. Plunien and G. Soff},
  journal= {arXiv preprint arXiv:physics/0308083},
  year   = {2009}
}

Comments

14 pages, 1 table