### Abstract

A method for solving the coupled channel equation for potentials with a Coulomb singularity is presented: At small r, where the Coulomb term is dominant, the solution is expressed by using the variation of constants method in terms of the Coulomb functions F_{l} and G_{l}. At large r, where the Coulomb potential is no longer important, one returns to the usual variable phase method which expresses the solution in terms of Bessel functions and Neumann functions. Furthermore, the use of an interpolation scheme for the energy dependence considerably reduces the amount of computation. The advantages of this approach when used in conjunction with the point group symmetry are illustrated by using a realistic potential taken from a full potential linearized augmented plane wave (FLAPW) calculation for Cu.

Original language | English |
---|---|

Pages (from-to) | 120-128 |

Number of pages | 9 |

Journal | Computer Physics Communications |

Volume | 82 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - 1994 |

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### ASJC Scopus subject areas

- Computer Science Applications
- Physics and Astronomy(all)

### Cite this

*Computer Physics Communications*,

*82*(2-3), 120-128. https://doi.org/10.1016/0010-4655(94)90161-9

**Coupled channel equation for potentials with a Coulomb singularity.** / Badralexe, E.; Marksteiner, P.; Oh, Yoonsik; Freeman, A. J.

Research output: Contribution to journal › Article

*Computer Physics Communications*, vol. 82, no. 2-3, pp. 120-128. https://doi.org/10.1016/0010-4655(94)90161-9

}

TY - JOUR

T1 - Coupled channel equation for potentials with a Coulomb singularity

AU - Badralexe, E.

AU - Marksteiner, P.

AU - Oh, Yoonsik

AU - Freeman, A. J.

PY - 1994

Y1 - 1994

N2 - A method for solving the coupled channel equation for potentials with a Coulomb singularity is presented: At small r, where the Coulomb term is dominant, the solution is expressed by using the variation of constants method in terms of the Coulomb functions Fl and Gl. At large r, where the Coulomb potential is no longer important, one returns to the usual variable phase method which expresses the solution in terms of Bessel functions and Neumann functions. Furthermore, the use of an interpolation scheme for the energy dependence considerably reduces the amount of computation. The advantages of this approach when used in conjunction with the point group symmetry are illustrated by using a realistic potential taken from a full potential linearized augmented plane wave (FLAPW) calculation for Cu.

AB - A method for solving the coupled channel equation for potentials with a Coulomb singularity is presented: At small r, where the Coulomb term is dominant, the solution is expressed by using the variation of constants method in terms of the Coulomb functions Fl and Gl. At large r, where the Coulomb potential is no longer important, one returns to the usual variable phase method which expresses the solution in terms of Bessel functions and Neumann functions. Furthermore, the use of an interpolation scheme for the energy dependence considerably reduces the amount of computation. The advantages of this approach when used in conjunction with the point group symmetry are illustrated by using a realistic potential taken from a full potential linearized augmented plane wave (FLAPW) calculation for Cu.

UR - http://www.scopus.com/inward/record.url?scp=0028495150&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028495150&partnerID=8YFLogxK

U2 - 10.1016/0010-4655(94)90161-9

DO - 10.1016/0010-4655(94)90161-9

M3 - Article

VL - 82

SP - 120

EP - 128

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

IS - 2-3

ER -