A STUDY OF BOSE-EINSTEIN CONDENSATION IN A 2-DIMENSIONAL TRAPPED GAS

We examine the possibility of Bose-Einstein condensation (BEG) in two- dimensional (2D) system of interacting particles in a trap. We use a s elf-consistent mean-field theory of Bose particles interacting by a co ntact interaction in the Popov and WKB approximations. The equations s how that the normal state has a phase transition at some critical temp erature T-c but below T-c the Bose-Einstein condensed state is not a c onsistent solution of the equations in the thermodynamic limit. This r esult agrees with a theorem recently discussed by the author that show s that a BEC state is impossible for an interacting gas in a 2D trap i n the thermodynamic limit.