Analysis, Geometry, and Dynamical Systems Seminar   RSS

24/10/2017, 15:00 — 16:00 — Room P3.10, Mathematics Building
David Krejcirik, Czech Technical University in Prague

Absence of eigenvalues of Schrödinger operators with complex potentials

We prove that the spectrum of Schrödinger operators in three dimensions is purely continuous and coincides with the non-negative semiaxis for all potentials satisfying a form-subordinate smallness condition. By developing the method of multipliers, we also establish the absence of point spectrum for electromagnetic Schrödinger operators in all dimensions under various alternative hypotheses, still allowing complex-valued potentials with critical singularities. This is joint work with Luca Fanelli and Luis Vega.