Uniform distribution of eigenstates on a torus with two point scatterers
Uniform distribution of eigenstates on a torus with two point scatterers
We study the Laplacian perturbed by two delta potentials on a two-dimensional flat torus. There are two types of eigenfunctions for this operator: old, or unperturbed eigenfunctions which are eigenfunctions of the standard Laplacian, and new, perturbed eigenfunctions which are affected by the scatterers. We prove that along a density …