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
收藏
页数：18
相关论文
共 50 条
  • [21] Non-local observables and lightcone-averaging in relativistic thermodynamics
    Jörn Dunkel
    Peter Hänggi
    Stefan Hilbert
    Nature Physics, 2009, 5 : 741 - 747
  • [22] Non-local equation of state in general relativistic radiating spheres
    Hernández, H
    Núñez, LA
    Percoco, U
    CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (03) : 871 - 896
  • [23] NON-LOCAL FIELD AND NON-LOCAL INTERACTION
    KATAYAMA, Y
    PROGRESS OF THEORETICAL PHYSICS, 1952, 8 (03): : 381 - 382
  • [24] Simulation of laminate composites degradation using mesoscopic non-local damage model and non-local layered shell element
    Germain, Norbert
    Besson, Jacques
    Feyel, Frederic
    MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, 2007, 15 (04) : S425 - S434
  • [25] Strong, non-local interactions: the Hong Kong bond
    Chen, Yu Wai
    Mok, Henry Yu-Keung
    Wong, Kam-Bo
    Tang, Kit
    Yiu, Benny
    Yu, Grace
    PROTEIN ENGINEERING DESIGN & SELECTION, 2011, 24 (1-2): : 235 - 239
  • [26] A STUDY OF GAUGE-INVARIANT NON-LOCAL INTERACTIONS
    CHRETIEN, M
    PEIERLS, RE
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 223 (1155): : 468 - 481
  • [27] Modeling of non-local interactions on a phase transformation interface
    Dobovsek, I.
    ESOMAT 2009 - 8TH EUROPEAN SYMPOSIUM ON MARTENSITIC TRANSFORMATIONS, 2009,
  • [28] Solitons in a chiral quark model with non-local interactions
    Golli, B
    Broniowski, W
    Ripka, G
    PHYSICS LETTERS B, 1998, 437 (1-2) : 24 - 28
  • [29] Weak solutions for Euler systems with non-local interactions
    Carrillo, Jose A.
    Feireisl, Eduard
    Gwiazda, Piotr
    Swierczewska-Gwiazda, Agnieszka
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2017, 95 : 705 - 724
  • [30] On the optimality of stripes in a variational model with non-local interactions
    Goldman, Michael
    Runa, Eris
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 58 (03)
12345