Semiclassical Analysis, Geometric Representation and Quantum Ergodicity

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2024-10-12 DOI:10.1007/s00220-024-05125-0

Minghui Ma, Qiaochu Ma

引用次数: 0

Abstract

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

查看原文本刊更多论文

半经典分析、几何表示和量子对偶性

在本文中，我们利用半经典量子化和几何量子化的混合方法，证明了拉普拉契安的高频eigensections在某一系列单元平面束上的等分布特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.