On the Global Limiting Absorption Principle for Massless Dirac Operators

Authors

Alan L. Carey, University of WollongongFollow
Fritz Gesztesy, Baylor University
Jens Kaad, University of Southern Denmark
Galina Levitina, University of New South Wales
Roger Nichols, University of Tennessee at Chattanooga
Denis Potapov, University of New South Wales
F Sukochev, University of New South Wales

RIS ID

126750

Publication Details

Carey, A., Gesztesy, F., Kaad, J., Levitina, G., Nichols, R., Potapov, D. & Sukochev, F. (2018). On the Global Limiting Absorption Principle for Massless Dirac Operators. Annales Henri Poincare, 19 (7), 1993-2019.

Abstract

We prove a global limiting absorption principle on the entire real line for free, massless Dirac operators (Formula presented.) for all space dimensions (Formula presented.), (Formula presented.). This is a new result for all dimensions other than three, in particular, it applies to the two-dimensional case which is known to be of some relevance in applications to graphene. We also prove an essential self-adjointness result for first-order matrix-valued differential operators with Lipschitz coefficients.