Inverse classical scattering using fractional derivative
Chemical Physics
2020-12-24 v1
Abstract
The fractional calculus framework will be used to invert the potential energy function from the classical scattering angle, which will be related to Riemann-Liouville fractional integral. Numerical solution of this fractional order problem will be applied to the inverse Rutherford scattering and to the inverse scattering of Xe--Rn atoms, in which the potential is given by Lennard-Jones function. Proofs of existence will be presented for more clarity and completness of the present work. In the two cases considered, the potential energy function can be retrieved with a desired precision. The present method gives a clear understanding of the inverse fractional problem framework.
Keywords
Cite
@article{arxiv.2012.12342,
title = {Inverse classical scattering using fractional derivative},
author = {F. S. Carvalho and J. P. Braga and N. H. T. Lemes},
journal= {arXiv preprint arXiv:2012.12342},
year = {2020}
}