Non-local relativistic δ-shell interactions

被引：0

作者：

Heriban, Lukas ^{[1
]}

Tusek, Matej ^{[1
]}

机构：

[1] Czech Tech Univ, Dept Math, Fac Nucl Sci & Phys Engn, Trojanova 13, Prague, Czech Republic

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2024年 / 114卷 / 03期

关键词：

Dirac operator; Shell interaction; Non-local potentials; Regular approximations; BOUNDARY-VALUE-PROBLEMS; DIRAC OPERATORS; PARADOX;

D O I：

10.1007/s11005-024-01828-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 D-0+|F delta(Sigma)>< G delta(Sigma)|, where 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.

引用

页数：18

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