Proof of the Wehrl-type Entropy Conjecture for Symmmetric SU(N) Coherent States
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Proof of the Wehrl-type Entropy Conjecture for Symmmetric SU(N) Coherent States. / Lieb, Elliott H.; Solovej, Jan Philip.
I: Communications in Mathematical Physics, Bind 348, Nr. 2, 2016, s. 567–578.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Proof of the Wehrl-type Entropy Conjecture for Symmmetric SU(N) Coherent States
AU - Lieb, Elliott H.
AU - Solovej, Jan Philip
N1 - 15 pages
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - math-ph
KW - math.MP
KW - 81R05, 81R30, 81S10, 22E46
U2 - 10.1007/s00220-016-2596-9
DO - 10.1007/s00220-016-2596-9
M3 - Journal article
VL - 348
SP - 567
EP - 578
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 2
ER -
ID: 140626377