Spectral properties and the confinement phenomenon for the coupling $H+V$ arestudied, where $H=-i\alpha\cdot\nabla +m\beta$ is the free Dirac operator in$\mathcal{R}^3$ and $V$ is a measure-valued potential. The potentials $V$ underconsideration are given in terms of surface measures on the boundary of boundedregular domains in $\mathcal{R}^3$. A criterion for the existence of point spectrum is given, with applicationsto electrostatic shell potentials. In the case of the sphere, an uncertaintyprinciple is developed and its relation with some eigenvectors of the couplingis shown. Furthermore, a criterion for generating confinement is given. As anapplication, some known results about confinement on the sphere forelectrostatic plus Lorentz scalar shell potentials are generalized to regularsurfaces.
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机译：研究了耦合$ H + V $的光谱性质和约束现象，其中$ H = -i \ alpha \ cdot \ nabla + m \ beta $是$ \ mathcal {R} ^ 3 $和$中的自由Dirac算子V $是衡量价值的潜力。根据$ \ mathcal {R} ^ 3 $中有界规则域边界上的表面度量，给出了潜在的$ V $不足考虑量。给出了存在点光谱的标准，并将其应用于静电壳电势。在球体的情况下，建立了不确定性原理，并显示了其与耦合的本征向量的关系。此外，给出了产生约束的标准。作为一种应用，有关静电加洛伦兹标量壳势的球形约束方面的一些已知结果被推广到规则曲面。
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