BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lucrezia Cossetti (Karlsruhe Institute of Technology) DTSTART:20210111T160000Z DTEND:20210111T170000Z DTSTAMP:20260423T024509Z UID:GAuS/3 DESCRIPTION:Title: Abs ence of eigenvalues of Schrödinger\, Dirac and Pauli Hamiltonians via the method of multipliers\nby Lucrezia Cossetti (Karlsruhe Institute of T echnology) as part of GAuS Seminar on Analysis and PDE\n\n\nAbstract\nOrig inally arisen to understand characterizing properties connected with dispe rsive phenomena\, in the last decades the method of multipliers has been r ecognized as a useful tool in Spectral Theory\, in particular in connectio n with proof of absence of point spectrum for both self-adjoint and non se lf-adjoint operators. In this seminar we will see the developments of the method reviewing some recent results concerning self-adjoint and non self- adjoint Schrödinger operators in different settings\, specifically both w hen the configuration space is the whole Euclidean space $\\mathbb R^d$ an d when we restrict to domains with boundaries. We will show how this techn ique allows to detect physically natural repulsive and smallness condition s on the potentials which guarantee total absence of eigenvalues. Some ver y recent results concerning Pauli and Dirac operators will be presented as well. The talk is based on joint works with L. Fanelli and D. Krejcirik.\ n LOCATION:https://researchseminars.org/talk/GAuS/3/ END:VEVENT END:VCALENDAR