Seminar

Commutator methods for unitary operators

Hamiltonians in Magnetic Fields

06 December 15:30 - 16:30

Rafael Tiedra de Aldecoa - Pontificia Universidad Católica de Chile

We present an improved version of commutator methods for unitary operators under a weak regularity condition. Once applied to a unitary operator, the method typically leads to the absence of singular continuous spectrum and to the local finiteness of point spectrum. Some applications for perturbations of the Schroedinger evolution and for cocycles over irrational rotations will be presented.
Organizers
Rafael D. Benguria
Pontificia Universidad Católica de Chile
Arne Jensen
Aalborg University
Georgi Raikov
Pontificia Universidad Católica de Chile
Grigori Rozenblioum
Chalmers/University of Gothenburg
Jan Philip Solovej
University of Copenhagen