Coupled channel equation for potentials with a Coulomb singularity
β Scribed by E. Badralexe; P. Marksteiner; Yoonsik Oh; A.J. Freeman
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 594 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0010-4655
No coin nor oath required. For personal study only.
β¦ Synopsis
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 1 and G1. 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) calculati~infor Cu.
π SIMILAR VOLUMES
Using a new method, we generalize the blow up and existence result from P. Baras and J. A. Goldstein (1984, Trans. Amer. Math. Soc. 284, 121-139) to heat equations on the Heisenberg group. In doing so we need to overcome the difficulty that the equation in this case is both degenerate and of variabl
We generalize a Harnack-type inequality (I. Shafrir, C. R. Acad. Sci. Paris, 315 (1992), 159-164), for solutions of Liouville equations to the case where the weight function may admit zeroes or singularities of power-type |x| 2 Ξ± , with Ξ± β (-1, 1).