On the Wehrl entropy lower bound for a locally compact abelian group

2023/06/27 by Evgeny I. Zelenov, Zelenov, Evgeny I.
Mathematics · Physics and Astronomy · #81R10 (Secondary) #81R30 (Primary) 81P15 #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2306.15357

openalex publication_date 2023/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Wehrl entropy construction is proposed for an arbitrary locally compact abelian group G. It is proved that the Wehrl entropy is not less than a non-negative integer, which is an invariant of the group G. The minimum of the Wehrl entropy is achieved on coherent states.

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