Dirac Operators with Singular Potentials Supported on Unbounded Surfaces in R3

被引：0

作者：

Rabinovich, V. S. ^{[1
]}

机构：

[1] Inst Politecn Natl, ESIME Zacatenco, Mexico City, DF, Mexico

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2021年 / 55卷 / 03期

关键词：

3D Dirac operators; singular potentials; self-adjointness; essential spectrum;

D O I：

10.1134/S0016266321030084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the self-adjointness and essential spectrum of 3D Dirac operators with bounded variable magnetic and electrostatic potentials and with singular delta-type potentials with supports on uniformly regular unbounded surfaces Sigma in R-3.

引用

页码：245 / 249

页数：5

共 7 条

[1] 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
[2] Dirac Operators with Singular Potentials Supported on Unbounded Surfaces in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{R}^{3}$$\end{document}
V. S. Rabinovich
Functional Analysis and Its Applications, 2021, 55 (3) : 245 - 249
[3] On Dirac operators in <mml:msup>R3</mml:msup> with electrostatic and Lorentz scalar δ-shell interactions
Behrndt, Jussi
Exner, Pavel
Holzmann, Markus
Lotoreichik, Vladimir
QUANTUM STUDIES-MATHEMATICS AND FOUNDATIONS, 2019, 6 (03) : 295 - 314
[4] Spectral Transition for Dirac Operators with Electrostatic δ-Shell Potentials Supported on the Straight Line
Behrndt, Jussi
Holzmann, Markus
Tusek, Matej
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2022, 94 (03)
[5] Dirac Equation with Coupling to 1/r Singular Vector Potentials for all Angular Momenta
A. D. Alhaidari
Foundations of Physics, 2010, 40 : 1088 - 1095
[6] Dirac Equation with Coupling to 1/r Singular Vector Potentials for all Angular Momenta
Alhaidari, A. D.
FOUNDATIONS OF PHYSICS, 2010, 40 (08) : 1088 - 1095
[7] FREDHOLM PROPERTY OF INTERACTION PROBLEMS ON UNBOUNDED C2-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^{2}-$$\end{document} HYPERSURFACES IN Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{R}^{n}$$\end{document} FOR DIRAC OPERATORS
Vladimir S. Rabinovich
Journal of Mathematical Sciences, 2023, 271 (2) : 136 - 161

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