Limiting absorption principle for Dirac operator in $R^d$

Galina Levitina

Affiliation:

University of New South Wales

Date:

Tue, 18/09/2018 - 12:00pm to 1:00pm

Venue:

RC-4082, The Red Centre, UNSW

Abstract:

Using tools of the scattering theory we prove a limiting absorption for the free massless Dirac operator $D$ in multidimensional Euclidean space. As a corollary we prove that for a sufficiently good potential $V$, the interacting massless Dirac operator $D+V$ has purely absolutely continuous spectrum. No prior knowledge of scattering theory is assumed for this talk.