### Abstract

A program is presented for calculation of the matrix elements of the Coulomb interaction between a charged particle and an atomic electron, ∫ψ_{f}^{†}(r)|R-r|^{-1}ψ _{i}(r)dr. Bound-free transitions are considered. Relativistic hydrogenic wave functions are used for the numerical evaluation of the matrix elements. The applied algorithm is based on the multipole series expansion of the Coulomb potential. The radial part of the terms of this series expansion (known as G functions) can also be obtained.

Original language | English |
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Pages (from-to) | 73-82 |

Number of pages | 10 |

Journal | Computer Physics Communications |

Volume | 141 |

Issue number | 1 |

DOIs | |

Publication status | Published - Nov 15 2001 |

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### Keywords

- Coulomb interaction
- Dirac-Coulomb functions
- Ionization
- Matrix elements
- Multipole series expansion
- Relativistic hydrogenic wave functions

### ASJC Scopus subject areas

- Computer Science Applications
- Physics and Astronomy(all)

### Cite this

**Calculation of the matrix elements of the Coulomb interaction involving relativistic hydrogenic wave functions.** / Lugosi, L.; Sarkadi, L.

Research output: Contribution to journal › Article

*Computer Physics Communications*, vol. 141, no. 1, pp. 73-82. https://doi.org/10.1016/S0010-4655(01)00294-6

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TY - JOUR

T1 - Calculation of the matrix elements of the Coulomb interaction involving relativistic hydrogenic wave functions

AU - Lugosi, L.

AU - Sarkadi, L.

PY - 2001/11/15

Y1 - 2001/11/15

N2 - A program is presented for calculation of the matrix elements of the Coulomb interaction between a charged particle and an atomic electron, ∫ψf†(r)|R-r|-1ψ i(r)dr. Bound-free transitions are considered. Relativistic hydrogenic wave functions are used for the numerical evaluation of the matrix elements. The applied algorithm is based on the multipole series expansion of the Coulomb potential. The radial part of the terms of this series expansion (known as G functions) can also be obtained.

AB - A program is presented for calculation of the matrix elements of the Coulomb interaction between a charged particle and an atomic electron, ∫ψf†(r)|R-r|-1ψ i(r)dr. Bound-free transitions are considered. Relativistic hydrogenic wave functions are used for the numerical evaluation of the matrix elements. The applied algorithm is based on the multipole series expansion of the Coulomb potential. The radial part of the terms of this series expansion (known as G functions) can also be obtained.

KW - Coulomb interaction

KW - Dirac-Coulomb functions

KW - Ionization

KW - Matrix elements

KW - Multipole series expansion

KW - Relativistic hydrogenic wave functions

UR - http://www.scopus.com/inward/record.url?scp=0035889403&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035889403&partnerID=8YFLogxK

U2 - 10.1016/S0010-4655(01)00294-6

DO - 10.1016/S0010-4655(01)00294-6

M3 - Article

AN - SCOPUS:0035889403

VL - 141

SP - 73

EP - 82

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

IS - 1

ER -