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

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 - 2016/12/1

Y1 - 2016/12/1

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) , 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.

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) , 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.

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

SN - 0010-3616

VL - 348

SP - 567

EP - 578

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -