Quantum stadium and its spectral rigidity

发布时间:2024-04-19 点击次数:

标题:Quantum stadium and its spectral rigidity






  In the realm of quantum physics, the concept of quantum billiards provides a compelling framework for exploring the fundamental principles governing quantum systems confined within specific geometric boundaries. This talk delves into the dynamical spectral rigidity of the Bunimovich stadium, a pivotal aspect of quantum chaos theory. The discussion will continue to the future direction of our research, specifically focusing on the pursuit of quantum unique ergodicity. This exploration not only sheds light on the behavior of quantum billiard systems but also sets the stage for further investigations into the quantum mechanical properties of complex systems, marking a significant step forward in our understanding of quantum chaos.


  张宏坤,美国麻省大学阿默斯特分校教授,是研究双曲动力学系统(包括混沌台球)统计特性的专家,在这一领域做出了许多有意义的工作,在《 Comm. Math. Phys.》(10篇),《 Trans. Amer. Math. Soc.》等国际权威杂志上发表论文50余篇。近年来,张宏坤教授的研究兴趣集中在动力系统和机器学习的交叉领域,取得了一些有意义的研究成果,其中与我校师生合作发表在 《Appl. Comput. Harmon. Anal.》,《IEEE Trans. Signal Inform. Process. Netw.》,《Physical Review Research》上的研究论文,受到国内外一些知名学者的引用和关注。