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

L. Lugosi, L. Sarkadi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)73-82
Number of pages10
JournalComputer Physics Communications
Volume141
Issue number1
DOIs
Publication statusPublished - Nov 15 2001

Fingerprint

Wave functions
Coulomb interactions
series expansion
wave functions
Coulomb potential
Charged particles
matrices
multipoles
charged particles
interactions
Electrons
evaluation
electrons

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.

In: Computer Physics Communications, Vol. 141, No. 1, 15.11.2001, p. 73-82.

Research output: Contribution to journalArticle

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