Proof of the Wehrl-type Entropy Conjecture for Symmmetric SU(N) Coherent States
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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) SU(2)
, is further extended here to symmetric representations of the groups SU(N) 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 language | English |
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Journal | Communications in Mathematical Physics |
Volume | 348 |
Issue number | 2 |
Pages (from-to) | 567–578 |
ISSN | 0010-3616 |
DOIs | |
Publication status | Published - 2016 |
Bibliographical note
15 pages
Links
- https://arxiv.org/pdf/1506.07633v2.pdf
Accepted author manuscript
ID: 140626377