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- ItemAsymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2019) Chouk, Khalil; van Zuijlen, WillemIn this paper we consider the Anderson Hamiltonian with white noise potential on the box [0,L]² with Dirichlet boundary conditions. We show that all the eigenvalues divided by log L converge as L → ∞ almost surely to the same deterministic constant, which is given by a variational formula.