Radial electric multipole matrix elements for inelastic collisions in atomic and nuclear physics

Solution of the radial Schroedinger equation for inelastic collisions between charged particles requires matrix elements of electric multipole operators in the region of large r values. These matrix elements are in general integrals over a finite interval [R1, R2] of a product of Coulomb wave functions and a factor rsup(-lambda-1). Especially in the case of heavy ion collisions at high energy, these are very cumbersome integrals because the integrand is a rapidly oscillating function with a wavelength much smaller than the integration interval. When we choose R2=infinite, the convergence of the integral is very slow. (orig.)