English

Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II

Quantum Physics 2014-02-28 v2 Symbolic Computation Mathematical Physics math.MP

Abstract

We derive the recurrence relations for relativistic Coulomb integrals directly from the integral representations with the help of computer algebra methods. In order to manage the computational complexity of this problem, we employ holonomic closure properties in a sophisticated way.

Keywords

Cite

@article{arxiv.1306.1362,
  title  = {Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II},
  author = {Christoph Koutschan and Peter Paule and Sergei K. Suslov},
  journal= {arXiv preprint arXiv:1306.1362},
  year   = {2014}
}