中文

An approximate method for solving inverse scattering problem with fixed-energy phase shifts

数学物理 2016-09-07 v1 math.MP 数值分析

摘要

An approximate method is proposed for the recovery of a compactly supported spherically-symmetric potential from the set of fixed-energy phase-shifts known for all angular momenta. The method reduces the inverse scattering problem to a moment problem which is solved numerically. The above reduction is done approximately and it is more accurate for larger angular momenta or for smaller potentials.

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引用

@article{arxiv.math-ph/9911045,
  title  = {An approximate method for solving inverse scattering problem with fixed-energy phase shifts},
  author = {A. G. Ramm and W. Scheid},
  journal= {arXiv preprint arXiv:math-ph/9911045},
  year   = {2016}
}