Casimir force on a single interacting bose Einstein condensate in the double-parabola approximation

The forces on a dilute single Bose-Einstein condensate confined between two parallel palates consist of two kinds, namely surface tension force and Casimir force. Within framework of double parabola approximation the surface tension force is investigated. The Casimir force is studied by quantum field theory in one-loop approximation. The total force is also obtained.