Essential self-adjointness of Dirac operators under an integral condition on the potential

Kalf H.

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Essential self-adjointness of Dirac operators under an integral condition on the potential

机译：势的整数条件下Dirac算子的基本自伴性

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We prove a criterion of Levitan-Otelbaev for the essential self-adjointness of Dirac operators. It involves an integral condition on the potential that in particular admits a Coulomb-type singularity with atomic number Z less than or equal to 118. [References: 18]

机译：我们证明了Levitan-Otelbaev对于Dirac算子的基本自伴性的判据。它涉及一个关于电势的积分条件，该条件尤其允许原子序数Z小于或等于118的库仑型奇点。[参考文献：18]

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《Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics》 |1998年第3期|共8页
作者
Kalf H.;
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正文语种 eng
中图分类物理学的数学方法;
关键词
Essential self-adjointness; Dirac operators; Muckenhoupt's inequality; Hardy's inequality with weight; Essential selfadjointness;

机译：基本自伴生;狄拉克算子;Muckenhoupt不等式;Hardy与体重不等式;本质上自伴;

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1. Essential self-adjointness of Dirac operators under an integral condition on the potential [J] . Kalf H. Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics . 1998,第3期

机译：势的整数条件下Dirac算子的基本自伴性
2. Dirac operators coupled to the quantized radiation field: Essential self-adjointness a la Chernoff [J] . Stockmeyer E, Zenk H Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics . 2008,第1期

机译：Dirac算子与量化辐射场耦合：基本的自伴性
3. Essential self-adjointness of n-dimensional Dirac operators with a variable mass term [J] . Kalf H., Yamada O. Journal of Mathematical Physics . 2001,第6期

机译：具有可变质量项的n维Dirac算子的基本自伴性
4. Three lectures on global boundary conditions and the theory of self-adjoint extensions of the covariant Laplace-Beltrami and Dirac operators on Riemannian manifolds with boundary [C] . A. Ibort International Fall Workshop on Geometry and Physics . 2012

机译：关于全球边界条件的三个讲座和利用边界riemannian歧管的协调式LAPLACH-BELTRAMI和DIRAC运营商的自伴随延伸理论
5. Essential Self-Adjointness of the Symplectic Dirac Operators [D] . Nita, A. 2016

机译：辛Dirac算子的本质自伴性。
6. Dirac operators coupled to vector potentials [O] . M. F. Atiyah, I. M. Singer 1984

机译：Dirac算子与矢量势耦合
7. Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms [O] . G. Nenciu 1976

机译：定义为二次形式的DIRAC运算符的基本谱的自相伴随和不变性

Essential self-adjointness of Dirac operators under an integral condition on the potential

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