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On the Global Limiting Absorption Principle for Massless Dirac Operators

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

Description

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.

CollectionsANU Research Publications
Date published: 2018
Type: Journal article
URI: http://hdl.handle.net/1885/170691
Source: Annales Henri Poincare
DOI: 10.1007/s00023-018-0675-5

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