Bose Einstein Condensation Under Periodic Boundary Interaction Between Body Of Impurities

In1948Casimir predicted that, in the electromagnetic vacuum, because ofzero-point quantum fluctuations, there would be an attractive force between twoclosely neutral parallel conductive plates. This force is called Casimir force. It isimpotent to study Casimir effectSince it was predicted, the Casimir effect has playedan very important role in various fields of physics, such as Quantum Field Theory,Condensed Matter Physics, Atomic Physics, Physical Biology, Astronomy andCosmology.If the temperature is low enough, all bose particles will condense at the lowestlevel, this is called Bose-Einstein Condensation (BEC).Since the realizing of BECin1995,it is the hottest project in physical area.In the paper,I briefly review both the theories and experiments about the Casimireffect and Bose-Einstein Condensation. Then we calculate the Casimir-like forcebetween contaminants in ideal BEC at vacuum state and squeezed vacuumstaterespectively.We discussed the relationship between Casimir-like force and distancebetween Contaminants...