Evaluation of a class of integrals by summing Legendre series. II. Integrands containing spherical harmonics
- 1 December 1972
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 5 (12), 2155-2167
- https://doi.org/10.1088/0022-3700/5/12/009
Abstract
For pt. I See Abstr. A930 of 1971. It is shown how the integral integral f(r)YLM( theta , phi ) mod r-R mod -1 mod r-R' mod -1dr can be reduced to a single integral on the interval (0, 1) which is amenable to numerical computation. The analysis does not depend on the functional form of f(r). Integrals involving products of spherical harmonics are also discussed, in particular the case where the integrand contains a product of two spherical harmonics.Keywords
This publication has 2 references indexed in Scilit:
- The use of second order potentials in the theory of the scattering of charged particles by atoms I. General theoryJournal of Physics B: Atomic and Molecular Physics, 1972
- Evaluation of a class of integrals by summing Legendre seriesJournal of Physics B: Atomic and Molecular Physics, 1970