On the Global Limiting Absorption Principle for Massless Dirac Operators

Alan Carey, Fritz Gesztesy*, Jens Kaad, Galina Levitina, Roger Nichols, Denis Potapov, Fedor Sukochev

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

150 Downloads (Pure)

Abstract

We prove a global limiting absorption principle on the entire real line for free, massless Dirac operators H0= α· (- i∇) for all space dimensions n∈ N, n⩾ 2. 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.

Original languageEnglish
JournalAnnales Henri Poincare
Volume19
Issue number7
Pages (from-to)1993-2019
ISSN1424-0637
DOIs
Publication statusPublished - 2018

    Fingerprint

Cite this

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. https://doi.org/10.1007/s00023-018-0675-5