Spectral Theory and Mathematical Physics: Stmp 2018, Santiago, Chile
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Commutator methods for N-body Schr?dinger operators.- Resolvent estimates and resonance free regions for Schr?dinger operators with matrix-valued potentials.- One-dimensional discrete Anderson model in a decaying random potential: From a.c. spectrum to dynamical localization.- On non-selfadjoint operators with finite discrete spectrum.- Pseudo-differential perturbations of the Landau Hamiltonian.- Semiclassical surface wave tomography of isotropic media.- Persistence of point spectrum for perturbations of one-dimensional operators with discrete spectra.- Resonances for a system of Schr?dinger operators above an energy-level crossing.- Nonexistence result for wave operators in massive relativistic system.- Quantized calculus for perturbed massive Dirac operator on noncommutative Euclidian space.- On the explicit semiclassical limiting eigenvalue (resonance) distribution for the Zeeman (Stark) hydrogen atom Hamiltonian.- Negative spectrum of the Robin Laplacian.- On some integral operators appearing in scattering theory, and their resolutions.- The strong Scott conjecture: The density of heavy atoms close to the nucleous.
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