  We propose a general procedure for reducing the three-dimensional Schrodinger
equation for atoms moving along a strongly confining atomic waveguide to an
effective one-dimensional equation. This procedure is applied to the case of a
rotating closed-loop waveguide. The possibility of including mean-field atomic
interactions is presented. Application of the general theory to characterize a
new concept of atomic waveguide based on optical tweezers is finally discussed.

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