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.

N1 - Funding Information:
Acknowledgement This work was supported by the National Sci-ence Foundation (Grant No. DMR9117818). Many useful discussions with P. Weinberger and J. Redinger from the Technische Universität Wien are gratefully acknowledged.

PY - 1994/9

Y1 - 1994/9

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.

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

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

M3 - Article

AN - SCOPUS:0028495150

SN - 0010-4655

VL - 82

SP - 120

EP - 128

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 2-3

ER -