We prove a global limiting absorption principle on the entire real line forfree, massless Dirac operators $H_0 = \alpha \cdot (-i \nabla)$ for all spacedimensions $n \in \mathbb{N}$, $n \geq 2$. This is a new result for alldimensions other than three, in particular, it applies to the two-dimensionalcase which is known to be of some relevance in applications to graphene. We also prove an essential self-adjointness result for first-ordermatrix-valued differential operators with Lipschitz coefficients.
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机译：我们证明了整个实线上的一个全局极限吸收原理，对于所有空间维$ n \ in \ mathbb {N} $，$ n \ geq 2免费，无质量的狄拉克算子$ H_0 = \ alpha \ cdot（-i \ nabla）$ $。这是除3维以外的所有尺寸的新结果，特别是它适用于二维情况，该情况在石墨烯的应用中具有一定意义。我们还证明了具有Lipschitz系数的初等皮肤值微分算子的基本自伴随结果。
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