Applications of Angular Momentum Algebra

Abstract

In this appendix we consider four applications of the angular momentum algebra theory described in Appendices A and B. In these applications we obtain explicit expressions for quantities that occur in the main body of this monograph. We first derive expressions for the long-range multipole potential coefficients, which arise in our discussion of both non-relativistic and relativistic electron–atom and electron–ion collisions. We then derive expressions for the long-range multipole potentials which arise in R-matrix–Floquet theory and in time-dependent R-matrix theory of multiphoton processes. Finally, we obtain an expression for the atomic differential photoionization cross section.