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 [J].
Benhellal, Badreddine ;
Pankrashkin, Konstantin .
PURE AND APPLIED ANALYSIS, 2024, 6 (01) :237-252
[12]   Singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators [J].
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 [J].
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 [J].
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 [J].
Rabinovich, Vladimir .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (04) :938-961
[16]   One-dimensional Schrodinger operator with δ-interactions [J].
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 [J].
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 [J].
Rabinovich, V .
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2021, 28 (04) :524-542
[19]   THE ONE-DIMENSIONAL DIRAC EQUATION WITH CONCENTRATED NONLINEARITY [J].
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 [J].
Albeverio, Sergio ;
Fassari, Silvestro ;
Rinaldi, Fabio .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (18) :1-25