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Lieb-Thirring 不等式的最新结果

Recent Results on Lieb-Thirring Inequalities
课程网址: http://videolectures.net/8ecm2021_frank_recent_results/  
主讲教师: Rupert Frank
开课单位: 路德维希-马克西米利安大学
开课时间: 2021-07-06
课程语种: 英语
中文简介:
Lieb-Thirring 不等式是量子力学中不确定性和排除原理的数学表达。 自 1975 年发现以来,它们在分析和数学物理的多个领域发挥了重要作用。 我们对这个主题的经典方面进行了温和的介绍,并介绍了一些最近的进展。 最后,我们本着 Lieb-Thirring 不等式的精神,讨论调和分析中的几个不等式对正交函数族的设置的扩展。
课程简介: Lieb-Thirring inequalities are a mathematical expression of the uncertainty and exclusion principles in quantum mechanics. Since their discovery in 1975 they have played an important role in several areas of analysis and mathematical physics. We provide a gentle introduction to classical aspects of this subject and present some recent progress. Finally, we discuss extensions, in the spirit of Lieb-Thirring inequalities, of several inequalities in harmonic analysis to the setting of families of orthonormal functions.
关 键 词: 不等式; 正交函数; 数学物理
课程来源: 视频讲座网
数据采集: 2022-03-27:hqh
最后编审: 2022-03-27:hqh
阅读次数: 66