Semiclassical analysis, geometric representation and quantum ergodicity
Mathematical Physics
2024-09-30 v3 Analysis of PDEs
Dynamical Systems
math.MP
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.
Cite
@article{arxiv.2302.09497,
title = {Semiclassical analysis, geometric representation and quantum ergodicity},
author = {Minghui Ma and Qiaochu Ma},
journal= {arXiv preprint arXiv:2302.09497},
year = {2024}
}
Comments
We revise according to the referees' suggestions. This is the final version to appear in the Communications in Mathematical Physics