Proof of the Wehrl-type Entropy Conjecture for Symmetric SU(N) Coherent States

Elliott H. Lieb, Jan Philip Solovej

Research output: Contribution to journalArticle

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Abstract

The Wehrl entropy conjecture for coherent (highest weight) states in representations of the Heisenberg group, which was proved in 1978 and recently extended by us to the group SU(2) , is further extended here to symmetric representations of the groups SU(N) for all N. This result gives further evidence for our conjecture that highest weight states minimize group integrals of certain concave functions for a large class of Lie groups and their representations.

Original languageEnglish (US)
Pages (from-to)567-578
Number of pages12
JournalCommunications In Mathematical Physics
Volume348
Issue number2
DOIs
StatePublished - Dec 1 2016

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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