Dirac Operators with Singular Potentials Supported on Unbounded Surfaces in \(\mathbb{R}^{3}\)

IF 0.6 4区 数学 Q3 MATHEMATICS Functional Analysis and Its Applications Pub Date : 2022-01-25 DOI:10.1134/S0016266321030084
V. S. Rabinovich
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引用次数: 0

Abstract

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 \(\mathbb{R}^{3}\).

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中的无界曲面上支持奇异势的Dirac算子 \(\mathbb{R}^{3}\)
研究了均匀规则无界表面上具有有界可变磁势和静电势和具有支撑的奇异δ型势的三维狄拉克算子的自伴随性和本质谱 \(\Sigma\) 在 \(\mathbb{R}^{3}\).
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
7
审稿时长
>12 weeks
期刊介绍: Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.
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