Magnetic Schrödinger Operator with the Potential Supported in a Curved Two-Dimensional Strip

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-02 DOI:10.1007/s00009-024-02651-y

Juan Bory-Reyes, Diana Barseghyan, Baruch Schneider

引用次数: 0

Abstract

We consider the magnetic Schrödinger operator \(H=(i \nabla +A)^2- V\) with a non-negative potential V supported over a strip which is a local deformation of a straight one, and the magnetic field \(B:=\textrm{rot}(A)\) is assumed to be non-zero and local. We show that the magnetic field does not change the essential spectrum of this system, and investigate a sufficient condition for the discrete spectrum of H to be empty.

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磁薛定谔算子与二维弯曲带中的势能支持

我们考虑了磁薛定谔算子（H=(i \nabla +A)^2- V\ ），该算子的非负势能 V 支持在一个条带上，该条带是直线条带的局部变形，磁场 \(B:=\textrm{rot}(A)\) 被假定为非零且局部的。我们证明磁场不会改变这个系统的基本谱，并研究了 H 的离散谱为空的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.