Berry phase in homogeneous Kähler manifolds with linear Hamiltonians
Berry phase in homogeneous Kähler manifolds with linear Hamiltonians
We study the total [dynamical plus geometrical (Berry)] phase of cyclic quantum motion for coherent states over homogeneous Kähler manifolds X=G/H, which can be considered as the phase spaces of classical systems and which are, in particular cases, coadjoint orbits of some Lie groups G. When the Hamiltonian is linear …