Some remarks on the calculation of Born partial wave integrals
- 1 March 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 101 (2) , 375-381
- https://doi.org/10.1017/s0305004100066731
Abstract
The Born partial wave integrals of Seaton [3] are considered. It is shown that the treatment of Whelan [5] may be further simplified and that these integrals may be expressed as a finite sum of associated Legendre polynomials of the second kind. This provides a convenient method for their numerical evaluation and allows the relationship between the Born and Bethe reactance matrices to be given in explicit analytic form.This publication has 4 references indexed in Scilit:
- On the Bethe approximation to the reactance matrixJournal of Physics B: Atomic and Molecular Physics, 1986
- Cross sections for electron-hydrogen collisions in the Born approximation to the reactance matrixJournal of Physics B: Atomic and Molecular Physics, 1986
- On the calculation of cross-sections for electron neutral atom collisions in the Born approximation to the reactance matrixMathematical Proceedings of the Cambridge Philosophical Society, 1984
- The Evaluation of Partial Wave Integrals in the Born ApproximationProceedings of the Physical Society, 1961