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In a time-orbiting-potential magnetic trap the neutral atoms are confined bymeans of an inhomogeneous magnetic field superimposed to an uniform rotatingone. We perform an analytic study of the atomic motion by taking into accountthe nonadiabatic effects arising from the spin dynamics about the localmagnetic field. Geometric-like magnetic-fields determined by the Berry's phaseappear within the quantum description. The application of a variationalprocedure on the original quantum equation leads to a set of dynamicalevolution equations for the quantum average value of the position operator andof the spin variables. Within this approximation we derive thequantum-mechanical ground state configuration matching the classical adiabaticsolution and perform some numerical simulations.Comment: 12 pages, 4 figure

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