2004/08/19 by S. Berceanu, A. Gheorghe
Mathematics · Physics and Astronomy · #math.DG #math-ph #math.MP #msc:81R30 #msc:20C33 #msc:17B10 #msc:32WXX
published as An. Univ. Timişoara Ser. Mat.-Inform. Vol. XXXIX (2001) 31-56 · 22 pages, LATEX2E, ams fonts, The Fifth International Workshop on Differential Geometry and Its Applications, September 18-22, 2001, Timi\c soara - ROMANIA
arxiv created 2004/08/19 · arxiv updated 2009/12/01
Representations of coherent state Lie algebras on coherent state manifolds as first order differential operators are presented. The explicit expressions of the differential action of the generators of semisimple Lie groups determine for linear Hamiltonians in the generators of the groups first order differential equations of motion with holomorphic polynomials coefficients. For hermitian symmetric manifolds the equations of motion are matrix Riccati equations. It is presented the simplest example of the non-symmetric space SU(3)/S(U(1)× U(1)× U(1)) where the polynomials describing the equations of motion have the maximum degree 3.