Absence of embedded eigenvalues of Pauli and Dirac operators

被引：0

作者：

Hundertmark, Dirk ^{[1
,2
]}

Kovarik, Hynek ^{[3
]}

机构：

[1] Karlsruhe Inst Technol, Inst Anal, Dept Math, D-76128 Karlsruhe, Germany

[2] Univ Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USA

[3] Univ Brescia, Sez Matemat, DICATAM, Via Branze 38, I-25123 Brescia, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 286卷 / 04期

关键词：

Pauli operator; Dirac operator; Embedded eigenvalues; POSITIVE EIGENVALUES; SCHRODINGER-OPERATORS; BOUNDS;

D O I：

10.1016/j.jfa.2023.110288

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider eigenvalues of the Pauli operator in R3 embedded in the continuous spectrum. In our main result we prove the absence of such eigenvalues above a threshold which depends on the asymptotic behavior of the magnetic and electric field at infinity. We show moreover that the decay conditions on the magnetic and electric field are sharp. Analogous results are obtained for purely magnetic Dirac operators.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：35

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