Abstract
An iterative inversion procedure is studied for a particular class of nonspherically symmetric interactions. This class consists of the potentials whose Fourier transform is a product of two factors: a function of the magnitude of the transform-space vector and a function of its direction only. The input data required for the inversion procedure are the amplitude for backward scattering for all the directions of incident momentum at a fixed energy, and the value of the spherical average of the interaction, which is assumed to be known. Conditions are established for the convergence of the inversion procedure, and for the existence and uniqueness of a solution of the above-mentioned factorizable form. The results are extended to the much wider class of potentials which can be represented as a sum of N factorizable interaction terms. The inversion method then requires knowledge of the backward scattering amplitude at N different energies. These results have potential applications to the determination of intermolecular forces from scattering data.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Physics A: Mathematical, Nuclear and General
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
