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

Mathematical Physics 2023-10-09 v2 math.MP

Abstract

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

Keywords

Cite

@article{arxiv.2306.15357,
  title  = {On the Wehrl entropy lower bound for a locally compact abelian group},
  author = {Evgeny I. Zelenov},
  journal= {arXiv preprint arXiv:2306.15357},
  year   = {2023}
}

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9 pages