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.
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页数：18
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