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Название: A Law of Large Numbers and a Central Limit Theorem for the Schriidinger Operator with Zero-Range Potentials
Авторы: Figari R., Holden H., Teta A.
We consider the Schr6dinger operator with zero-range potentials on N points of three-dimensional space, independently chosen according to a common distribution V(x). Under some assumptions we prove that, when N goes to infinity, the sequence converges to a Schr6dinger operator with an effective potential. The fluctuations around the limit operator are explicitly characterized.