Absence of eigenvalues of two-dimensional magnetic Schrodinger operators

被引：22

作者：

Fanelli, Luca ^{[1
]}

Krejcirik, David ^{[2
]}

Vega, Luis ^{[3
,4
]}

机构：

[1] SAPIENZA Univ Roma, Dipartimento Matemat, Ple Aldo Moro 5, I-00185 Rome, Italy

[2] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Trojanova 13, Prague 12000 2, Czech Republic

[3] Univ Basque Country, Dept Matemat, Aptdo 644, E-48080 Bilbao, Spain

[4] BCAM, Alameda Mazarredo 14, Bilbao 48009, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2018年 / 275卷 / 09期

关键词：

Magnetic Schroedinger operators; Complex potential; Absence of eigenvalues; Multipliers method;

D O I：

10.1016/j.jfa.2018.08.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schrodinger operator possesses no point spectrum. The settings of complex-valued electric potentials and singular magnetic potentials of Aharonov-Bohm field are also covered. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：2453 / 2472

页数：20

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