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