Symplectic and Lagrangian polar duality; applications to quantum harmonic analysis

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Mathematical Physics Pub Date : 2024-06-21 DOI:10.1063/5.0192334

Maurice de Gosson, Charlyne de Gosson

引用次数: 0

Abstract

Polar duality is a well-known concept from convex geometry and analysis. In the present paper we study a symplectically covariant versions of polar duality, having in mind their applications to quantum harmonic analysis. It makes use of the standard symplectic form on phase space and allows a precise study of the covariance matrix of a density operator.

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交映和拉格朗日极性对偶；量子谐波分析的应用

极对偶是凸几何和分析中的一个著名概念。在本文中，我们研究了极对偶的交映协变版本，同时考虑到其在量子谐波分析中的应用。它利用相空间上的标准交映形式，对密度算子的协方差矩阵进行了精确研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

2.20

自引率

15.40%

发文量

396

审稿时长

4.3 months

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