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We study the Laplacian perturbed by two delta potentials on a two-dimensionalflat torus. There are two types of eigenfunctions for this operator: old, orunperturbed eigenfunctions which are eigenfunctions of the standard Laplacian,and new, perturbed eigenfunctions which are affected by the scatterers. Weprove that along a density one sequence, the new eigenfunctions are uniformlydistributed in configuration space, provided that the difference of thescattering points is Diophantine.

Uniform Distribution of Eigenstates on a Torus with Two Point Scatterers