论邓克尔算子正交斯特里查兹估计中的沙腾指数

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-06 DOI:10.1007/s13324-024-00970-7

Sunit Ghosh, Jitendriya Swain

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引用次数: 0

摘要

Senapati 等人（J Geom Anal 34:74, 2024）以及 Mondal 和 Song（Israel J Math, 2023）推导了与 Dunkl 拉普拉奇和 Dunkl-Hermite 算子相关的薛定谔方程的正交 Strichartz 估计。在本文中，我们构建了一组 Dunkl 设置中的相干态，并应用半经典分析推导出了上述正交 Strichartz 估计的 Schatten 指数的必要条件，结果证明该条件对于与拉普拉斯和赫尔米特算子相关的薛定谔方程是最优的。

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On the Schatten exponent in orthonormal Strichartz estimate for the Dunkl operators

The orthonormal Strichartz estimates for the Schrödinger equation associated to the Dunkl Laplacian and the Dunkl-Hermite operator are derived in Senapati et al. (J Geom Anal 34:74, 2024) and Mondal and Song (Israel J Math, 2023). In this article we construct a set of coherent states in the Dunkl setting and apply semi-classical analysis to derive a necessary condition on the Schatten exponent for the aforementioned orthonormal Strichartz estimates, which turns out to be optimal for the Schrödinger equations associated with Laplacian and Hermite operator as a particular case.

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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.