论文标题
使用分数衍生物的逆经典散射
Inverse classical scattering using fractional derivative
论文作者
论文摘要
分数演算框架将用于从经典散射角度反转势能函数，这将与Riemann-Liouville分数积分有关。该部分阶问题的数值解将应用于卢瑟福逆散射和Xe-RN原子的逆散射，其中Lennard-Jones函数给出了电势。将提供生存证明，以更加清晰和完成本工作。在考虑的两种情况下，可以以所需的精度检索势能函数。目前的方法清楚地了解了反向分数问题框架。
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.
