The Essential Spectrum of One-Dimensional Dirac Operators with Delta Interactions

被引:0
|
作者
V. S. Rabinovich
机构
[1] Instituto Politécnico National,Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME) Zacatenco
来源
Functional Analysis and Its Applications | 2020年 / 54卷
关键词
Dirac operators; point interactions; self-adjointness; essential spectrum;
D O I
暂无
中图分类号
学科分类号
摘要
We describe the location of the essential spectrum of one-dimensional Dirac operators with singular potentials supported on discrete sets in ℝ in terms of limit operators.
引用
收藏
页码:145 / 148
页数:3
相关论文
共 50 条
  • [11] CURVATURE CONTRIBUTION TO THE ESSENTIAL SPECTRUM OF DIRAC OPERATORS WITH CRITICAL SHELL INTERACTIONS
    Benhellal, Badreddine
    Pankrashkin, Konstantin
    PURE AND APPLIED ANALYSIS, 2024, 6 (01): : 237 - 252
  • [12] Singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators
    Rainer Brunnhuber
    Jonathan Eckhardt
    Aleksey Kostenko
    Gerald Teschl
    Monatshefte für Mathematik, 2014, 174 : 515 - 547
  • [13] SPECTRAL AND DYNAMICAL PROPERTIES OF SPARSE ONE-DIMENSIONAL CONTINUOUS SCHRODINGER AND DIRAC OPERATORS
    Carvalho, Silas L.
    de Oliveira, Cesar R.
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2013, 56 (03) : 667 - 700
  • [14] Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators
    Brunnhuber, Rainer
    Eckhardt, Jonathan
    Kostenko, Aleksey
    Teschl, Gerald
    MONATSHEFTE FUR MATHEMATIK, 2014, 174 (04): : 515 - 547
  • [15] Fredholm property and essential spectrum of 3-D Dirac operators with regular and singular potentials
    Rabinovich, Vladimir
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (04) : 938 - 961
  • [16] One-dimensional Schrodinger operator with δ-interactions
    Kostenko, A. S.
    Malamud, M. M.
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2010, 44 (02) : 151 - 155
  • [17] One-dimensional Schrodinger operators with δ'-interactions on Cantor-type sets
    Eckhardt, Jonathan
    Kostenko, Aleksey
    Malamud, Mark
    Teschl, Gerald
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 257 (02) : 415 - 449
  • [18] Two-Dimensional Dirac Operators with Interactions on Unbounded Smooth Curves
    Rabinovich, V
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2021, 28 (04) : 524 - 542
  • [19] THE ONE-DIMENSIONAL DIRAC EQUATION WITH CONCENTRATED NONLINEARITY
    Cacciapuoti, Claudio
    Carlone, Raffaele
    Noja, Diego
    Posilicano, Andrea
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2017, 49 (03) : 2246 - 2268
  • [20] The discrete spectrum of the spinless one-dimensional Salpeter Hamiltonian perturbed by δ-interactions
    Albeverio, Sergio
    Fassari, Silvestro
    Rinaldi, Fabio
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (18) : 1 - 25