Stability of quantum spins in a magnetic field

Continuous representations of the dynamical SU(2) group, and the corresponding generalized coherent states, are used to conjugate dynamics of a system of quantum spins to that of a classical Hamiltonian system. Stability of the Hamiltonian system obtained are studied, using linear stability analyses and results from the perturbation theory. Quantum evolution of any of the compound-spins components is described exactly by classical Hamilton's equations. No semiclassical asymptotics in the analyses or explicit time-dependence has been involved. (Abstract Copyright [2003], Wiley Periodicals, Inc.)