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Scattering matrices for perturbations of Laplace operator by infinite sums of zero-range potentials

2025/04/13 by Adamyan Vadym, Vadym, Adamyan
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2504.09594

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.

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