ON THE CASIMIR EFFECT IN A WEAKLY INTERACTINGBOSE-EINSTEIN CONDENSATE GAS AT ZERO TEMPERATURE

Abstract

Abstract: Within framework of the Bogoliubov theory of a dilute Bose gas, we investigate 
quantum fluctuation energy of one component weakly interacting Bose‐Einstein condensate (BEC) 
gas confined between two parallel plates at zero temperature in grand canonical ensemble (GCE). 
The Casimir forces corresponding to Neumann, Dirichlet, Robin and periodic boundary conditions 
(BCs) of the ????????‐wave vector component are compared to the one obtained by quantum field theory
(QFT)