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 language | English |
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Journal | Annales Henri Poincaré |
Volume | 19 |
Issue number | 7 |
Pages (from-to) | 1993-2019 |
ISSN | 1424-0637 |
DOIs | |
Publication status | Published - 2018 |