One-dimensional description of a Bose-Einstein condensate in a rotating   closed-loop waveguide
  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. 
S. Schwartz, M. Cozzini, C. Menotti, I. Carusotto, P. Bouyer, S.   Stringari