半经典分析、几何表示和量子对偶性

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
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引用次数: 0

摘要

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。
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Semiclassical Analysis, Geometric Representation and Quantum Ergodicity

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.

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来源期刊
Communications in Mathematical Physics
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.
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