Approximation of multi-centre integrals arising in proton-hydrogen charge exchange calculations
- 21 June 1975
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 8 (9), 1507-1512
- https://doi.org/10.1088/0022-3700/8/9/017
Abstract
A lg-magnitude phase representation is used to effect the efficient approximation of multi-centre integrals through polynomial interpolation. When the multi-centre integrals are evaluated by numerical quadrature, computation costs can be reduced by an order of magnitude or more.Keywords
This publication has 8 references indexed in Scilit:
- The triple centre approximation for charge exchange in atomic scattering theoryJournal of Physics B: Atomic and Molecular Physics, 1974
- Calculation of one-electron two-centre exchange matrix elements in ion-atom collisionsJournal of Physics B: Atomic and Molecular Physics, 1974
- Time-reversal in the impact parameter methodJournal of Physics B: Atomic and Molecular Physics, 1973
- Comparing Numerical Methods for Ordinary Differential EquationsSIAM Journal on Numerical Analysis, 1972
- Evaluation of exchange matrix elements for heavy particle collisionsProceedings of the Physical Society, 1967
- Importance of coupling for inelastic collisions between protons and hydrogen atomsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1965
- Electron capture by fast protons and α-particles in hydrogenProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
- Resonance charge transfer between H(1s) and H + calculated by means of an approximation based on an expansion in atomic eigenfunctionsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961