Reply to "Comment on 'Nonadiabatic dynamics of atoms in nonuniform magnetic fields'"

Nonadiabatic dynamics of neutral atoms in nonuniform magnetic fields, typic al of quadrupole magnetic traps, has been considered in my earlier paper [V . I. Yukalov, Phys. Rev. A 56, 5004 (1997)]. The main result of this paper is that an unusual semiconfining regime of motion was found, when atoms are confined from one side of an axis, but are not confined from another side. The author of the Comment [V. E. Shapiro, Phys. Rev. A 60, 719 (1999)] exp ressed doubts on the validity of this result, advancing several concrete qu estions. In the present reply I answer all of these questions and show that they do not invalidate the possibility of realizing the semiconfining regi me of motion.