论局部紧凑阿贝尔群的韦尔熵最小值

IF 0.4 4区数学 Q4 MATHEMATICS Proceedings of the Steklov Institute of Mathematics Pub Date : 2024-07-11 DOI:10.1134/s0081543824010097

Evgeny I. Zelenov

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引用次数: 0

摘要

摘要针对任意局部紧密无性群 \(G\) 提出了韦尔熵的构造。证明了韦尔熵不小于某个非负整数，而这个非负整数是群\(G\) 的不变式。韦尔熵的最小值是在相干态上达到的。

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On the Minimum of the Wehrl Entropy for a Locally Compact Abelian Group

Abstract

A construction of the Wehrl entropy is proposed for an arbitrary locally compact abelian group \(G\). It is proved that the Wehrl entropy is not less than a certain nonnegative integer, which is an invariant of the group \(G\). The minimum of the Wehrl entropy is attained on coherent states.

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来源期刊

Proceedings of the Steklov Institute of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Proceedings of the Steklov Institute of Mathematics is a cover-to-cover translation of the Trudy Matematicheskogo Instituta imeni V.A. Steklova of the Russian Academy of Sciences. Each issue ordinarily contains either one book-length article or a collection of articles pertaining to the same topic.