Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-08 DOI:10.1007/s13324-024-00946-7

Joaquim Duran, Albert Mas

引用次数: 0

Abstract

This work addresses the resolvent convergence of generalized MIT bag operators to Dirac operators with zigzag type boundary conditions. We prove that the convergence holds in strong but not in norm resolvent sense. Moreover, we show that the only obstruction for having norm resolvent convergence is the existence of an eigenvalue of infinite multiplicity for the limiting operator. More precisely, we prove the convergence of the resolvents in operator norm once projected into the orthogonal of the corresponding eigenspace.

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广义 MIT 袋模型收敛于具有之字形边界条件的狄拉克算子

这项研究解决了广义 MIT 袋算子对具有之字形边界条件的狄拉克算子的解析收敛问题。我们证明了这种收敛在强收敛意义上成立，但在规范解析意义上不成立。此外，我们还证明了要实现规范解析收敛的唯一障碍是极限算子存在一个无限倍性的特征值。更确切地说，我们证明了一旦投影到相应特征空间的正交面上，算子规范解析子的收敛性。

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.