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Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions
2019, Chouk, Khalil, van Zuijlen, Willem
In 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.