2002/11/04 by S. Berceanu, Berceanu, S., A. Gheorghe +1
Mathematics · #32Wxx #81R30 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:32Wxx #msc:81R30
paper · pdf · doi:10.48550/arxiv.math/0211054
10 pages. Submitted to the Proceedings of the First National Romanian Conference on Theoretical Physics, September 13-16, 2002, Magurele, Bucharest, Romania
arxiv created 2002/11/04 · arxiv updated 2009/11/30
We emphasize some properties of coherent state groups, i.e. groups whose quotient with the stationary groups, are manifolds which admit a holomorphic embedding in a projective Hilbert space. We determine the differential action of the generators of the representation of coherent state groups on the symmetric Fock space attached to the dual of the Hilbert space of the representation. This permits a realization by first-order differential operators with holomorphic polynomial coefficients on Kähler coherent state orbits.