We show that the local spin-gauge symmetry and the off-diagonal long-range
order of the system of alkali atoms in a magnetic trap at the temperature T
< T-BEC (the temperature for the Bose-Einstein condensation transition) le
ads to a superflow of the atomic gas. The supercurrents are present in the
interior of the systems even in the ground state. This effect does not exis
t at the temperature T > T-BEC. (C) 1999 Published by Elsevier Science B.V.