The Anderson Hamiltonian is considered, where is a random potential of Bernoulli type. The operator is perturbed by a non-random, continuous potential , decaying at infinity. It will be shown that the borderline between finitely, and infinitely many negative eigenvalues of the perturbed operator, is achieved with a decay of the potential as .
Cite this article
Stanislav Molchanov, Boris Vainberg, Non-random perturbations of the Anderson Hamiltonian. J. Spectr. Theory 1 (2011), no. 2, pp. 179–195DOI 10.4171/JST/8