Semiclassical analysis, geometric representation and quantum ergodicity

2023/02/19 by Minghui Ma, Qiaochu Ma, Ma, Minghui +1 · 1 citation
Mathematics · Medicine · #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Glaucoma and retinal disorders #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2302.09497

openalex publication_date 2023/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the equidistribution property of high-frequency eigensections of a certain series of unitary flat bundles, using the mixture of semiclassical and geometric quantizations.

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