14h00 – 15h30, Amphi 5 du CPT
Absence of eigenvalues of Schrödinger operators with complex potentials
David Krejcirik (Department of Mathematics, Czech Technical University, Prague, République tchèque)
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.