Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain.
Electronic density at the nucleus. On a conjecture of Lieb
Embedded eigenvalues and resonances of Schrödinger operators with two channels
In this article, we give a necessary and sufficient condition in the perturbation regime on the existence of eigenvalues embedded between two thresholds. For an eigenvalue of the unperturbed operator embedded at a threshold, we prove that it can produce both discrete eigenvalues and resonances. The locations of the eigenvalues and resonances are given.
Entropy considerations in the noncommutative setting.
Erratum to “Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials”.
Estimation des résidus de la matrice de diffusion associés à des résonances de forme I