Abstract

We consider the self-adjointness and essential spectrum of 3D Dirac operators with bounded variable magnetic and electrostatic potentials and with singular delta-type potentials with supports on uniformly regular unbounded surfaces \(\Sigma\) in \(\mathbb{R}^{3}\).

中文翻译：

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$$\mathbb{R}^{3}$$ 中的无界曲面上支持奇异势的狄拉克算子

摘要

我们考虑 3D Dirac 算子的自伴随性和本质谱，具有有界可变磁势和静电势以及奇异 delta 型势，支持在\(\mathbb{R}^{中的均匀规则无界曲面\(\Sigma\)上3}\)。