14 citations · 14 across the 2 of their papers we have counts for
4 papers
Spectral cluster bounds for orthonormal functions on manifolds with nonsmooth metrics
Jean-Claude Cuenin, Ngoc Nhi Nguyen, Xiaoyan Su
We establish spectral cluster bounds for families of orthonormal functions associated to the Laplace-Beltrami operator on a compact Riemannian manifold. The metric is only as…
Lieb-Thirring-type inequalities for random Schrödinger operators with complex potentials
Jean-Claude Cuenin, Konstantin Merz
We review some results and proofs on eigenvalue bounds for random Schrödinger operators with complex-valued potentials. We also include new Schatten norm estimates for the resolven…
Sharp spectral estimates for the perturbed Landau Hamiltonian with potentials
Jean-Claude Cuenin
We establish a sharp estimate on the size of the spectral clusters of the Landau Hamiltonian with potentials in two dimensions as the cluster index tends to infinity. In thre…
Dipoles in Graphene Have Infinitely Many Bound States
Jean-Claude Cuenin, Heinz Siedentop
We show that in graphene charge distributions with non-vanishing dipole moment have infinitely many bound states. The corresponding eigenvalues accumulate at the edges of the gap f…