Semiclassical analysis, geometric representation and quantum ergodicity
Minghui Ma, Qiaochu Ma
TL;DR
This paper proves the equidistribution of high-frequency eigensections in certain flat bundles by combining semiclassical and geometric quantizations, advancing understanding in quantum ergodicity.
Contribution
It introduces a novel approach merging semiclassical and geometric quantizations to analyze quantum ergodicity in flat bundles.
Findings
Proves equidistribution of eigensections at high frequencies.
Demonstrates effectiveness of combined semiclassical and geometric methods.
Provides new insights into quantum ergodicity in geometric contexts.
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Glaucoma and retinal disorders