A general approximation scheme applicable to scattering of atoms and molecules off multicenter targets is proposed. The total potential is replaced by a sum of nonlocal, separable interactions. Each term in the sum projects the wave function onto a weighted average in the vicinity of a given scattering center. The resultant solution is an infinite order approximation to the true solution, and choosing the weighting function as the zeroth order solution guarantees agreement with Born approximation to second order. In addition, the approximation also becomes increasingly more accurate in the low energy long wavelength limit. A nonlinear, nonperturbative iterative scheme for the wave function is proposed. An extension of the scheme to multichannel scattering suitable for treating inelastic scattering is also presented.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry