Speaker: Huaxin Lin (SIMIS)
Time: 2025-10-30 14:00-15:00
Location: Room 102, Mathematics Building, Minhang Campus, East China Normal University
Tencent Meeting ID: 165 240 986 Passcode:123456
Abstract: We show that Mumford’s Approximate Macroscopic Unique (AMU) states exist for quantum systems consisting of self-adjoint operators when the commutators are small. In particular, AMU states always exist in position and momentum systems when the Planck constant h is sufficiently small. However, we show that these standard mechanical systems are far from classical mechanical (commutative) systems even when h→0.
About Speaker: Huaxin Lin is a professor at SIMIS and a retired professor of East China Normal University (ECNU), the founder of ECNU’s Operator Algebra Research Center. He is a Fellow of the American Mathematical Society and a leading scholar in the international field of operator algebras. Professor Lin has made breakthrough contributions to the classification of C*-algebras. He solved the famous Halmos problem, pioneered the influential perturbation theory, and completed the “Elliott classification program” with collaborators, driving major advances in the field. His work has been published in top journals such as Annals of Mathematics, Inventiones Mathematicae, and PNAS. He received the Shanghai Scientific and Technological Progress First Prize (2005) and was honored as a Frontiers Scientist at the inaugural International Congress of Basic Science in 2023.
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