Nonadiabatic effects in the dynamics of atoms confined in a cylindric time-orbiting-potential magnetic trap

The study of the atomic motion by taking into account the nonadiabatic effects was analyzed. It was observed that the geometric like magnetic fields which were determined by Berry's phase appeared within the quantum description. It was also observed that the original quantum equation infuenced by the time-dependent variational principle led to a set of dynamical evolutions. The quantum-mechanical ground-state configuration which matched the classical adiabatic solution was derived.