Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II

TL;DR

This paper develops a computer algebra-based method to derive recurrence relations for relativistic Coulomb integrals, utilizing holonomic closure properties to handle computational complexity effectively.

Contribution

It introduces a novel approach combining integral representations and holonomic systems to compute relativistic Coulomb integrals efficiently.

Findings

Derived recurrence relations for relativistic Coulomb integrals.

Demonstrated the effectiveness of holonomic closure properties in complex computations.

Enhanced computational methods for relativistic quantum integrals.

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.