磁薛定谔算子和景观函数

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2023-12-23 DOI:10.1080/03605302.2023.2292992

Jeremy G. Hoskins, Hadrian Quan, Stefan Steinerberger

引用次数: 0

摘要

我们研究了磁薛定谔算子 (-i∇-A(x))2ϕ+V(x)ϕ=λϕ 的低洼特征函数的定位特性，其中 V:Ω→R≥0 为给定电势，A:Ω→Rd 为诱导磁场。我们可以...

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Magnetic Schrödinger operators and landscape functions

We study localization properties of low-lying eigenfunctions of magnetic Schrödinger operators (−i∇−A(x))2ϕ+V(x)ϕ=λϕ, where V:Ω→R≥0 is a given potential and A:Ω→Rd induces a magnetic field. We e...

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.