In this paper we consider the Anderson Hamiltonian with white noise potential on the box with Dirichlet boundary conditions. We show that all of the eigenvalues divided by , converge as , almost surely to the same deterministic constant which is given by a variational formula.
"Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions." Ann. Probab. 49 (4) 1917 - 1964, July 2021. https://doi.org/10.1214/20-AOP1497