The Kahler manifolds homogeneous under the action of compact Lie groups are constructed and employed as phase spaces of dynamical systems. The corresponding Lie algebra is realized in terms of the Poisson brackets and first-order differential operators, respectively, for classical and quantal dynamics.
机构:
Univ Vienna, Numer Harmon Anal Grp NuHAG, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, AustriaUniv Vienna, Numer Harmon Anal Grp NuHAG, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria