paper

Semiclassical analysis, geometric representation and quantum ergodicity

arXiv:2302.09497

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.

We revise according to the referees' suggestions. This is the final version to appear in the Communications in Mathematical Physics

Semiclassical analysis, geometric representation and quantum ergodicity · wovepaper