Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II
arXiv:1306.1362 · doi:10.1007/978-3-642-54479-8_6
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.
References in corpus (5)
- Two-time Green function method in quantum electrodynamics of high-Z few-electron atoms
- A Fast Approach to Creative Telescoping
- Expectation Values in Relativistic Coulomb Problems
- Virial relations for the Dirac equation and their applications to calculations of H-like atoms
- Mathematical Structure of Relativistic Coulomb Integrals