English

Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions

Mathematical Physics 2015-02-17 v1 math.MP

Abstract

We consider phaseless inverse scattering for the Schr\"odinger equation with compactly supported potential in dimension d2d\ge 2. We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appropriate data on a fixed energy neighborhood.

Keywords

Cite

@article{arxiv.1412.5006,
  title  = {Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions},
  author = {Roman Novikov},
  journal= {arXiv preprint arXiv:1412.5006},
  year   = {2015}
}
R2 v1 2026-06-22T07:33:25.236Z