Pseudomodes for Schrodinger operators with complex potentials

被引：14

作者：

Krejcirik, David ^{[1
]}

Siegl, Petr ^{[2
]}

机构：

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

[2] Queens Univ Belfast, Sch Math & Phys, Univ Rd, Belfast BT7 1NN, Antrim, North Ireland

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2019年 / 276卷 / 09期

基金：

瑞士国家科学基金会;

关键词：

Pseudospectrum; Schrodinger operators; Complex potential; WKB; PSEUDOSPECTRA; SPECTRUM;

D O I：

10.1016/j.jfa.2018.10.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For one-dimensional Schrodinger operators with complex-valued potentials, we construct pseudomodes corresponding to large pseudoeigenvalues. We develop a first systematic non-semi-classical approach, which results in a substantial progress in achieving optimal conditions and conclusions as well as in covering a wide class of previously inaccessible potentials, including discontinuous ones. Applications of the present results to higher-dimensional Schrodinger operators are also discussed. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：2856 / 2900

页数：45

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