Scattering matrices for perturbations of Laplace operator by infinite sums of zero-range potentials
Mathematical Physics
2025-04-15 v1 math.MP
Abstract
This paper analyzes the scattering matrix for two unbounded self-adjoint operators: the standard Laplace operator in three-dimensional space and a second operator that differs from the first by an infinite sum of zero-range potentials.
Cite
@article{arxiv.2504.09594,
title = {Scattering matrices for perturbations of Laplace operator by infinite sums of zero-range potentials},
author = {Adamyan Vadym},
journal= {arXiv preprint arXiv:2504.09594},
year = {2025}
}