论局部紧凑阿贝尔群的韦尔熵最小值

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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