非局部相对论 $$\delta $$hell 相互作用

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-06-07 DOI:10.1007/s11005-024-01828-6

Lukáš Heriban, Matěj Tušek

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引用次数: 0

摘要

本文介绍了二维和三维狄拉克算子的新自交实现。其中$\mathcal {D}_0$ 是自由狄拉克算子，F 和 G 是矩阵值系数、和 $\delta _\Sigma $代表支持在超表面 $\Sigma $上的单层分布，它们可以被理解为具有缩放非局部势的狄拉克算子的极限。此外，还分析了它们的光谱特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Non-local relativistic $\delta $-shell interactions

In this paper, new self-adjoint realizations of the Dirac operator in dimension two and three are introduced. It is shown that they may be associated with the formal expression $\mathcal {D}_0+|F\delta _\Sigma \rangle \langle G\delta _\Sigma |$, where $\mathcal {D}_0$ is the free Dirac operator, F and G are matrix valued coefficients, and $\delta _\Sigma $ stands for the single layer distribution supported on a hypersurface $\Sigma $, and that they can be understood as limits of the Dirac operators with scaled non-local potentials. Furthermore, their spectral properties are analysed.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.